{
 "game": "Pick the Bag",
 "made_with": "Designed and written by Claude (Anthropic) in a working session; validated by tools/make_levels.py",
 "rules": "Pick the bag most likely to give you a ball of the target colour. Objects are shown as balls, never as digits.",
 "levels": [
  {
   "id": 1,
   "tier": 1,
   "concept": "Certain vs unlikely: a bag that is almost all one colour",
   "target": "red",
   "bags": [
    {
     "objects": [
      {
       "colour": "red",
       "count": 5
      },
      {
       "colour": "blue",
       "count": 1
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "red",
       "count": 1
      },
      {
       "colour": "blue",
       "count": 5
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "5/6",
    "1/6"
   ],
   "hint": {
    "en": "Which bag is almost all red?",
    "hi": "कौन सा थैला लगभग पूरा लाल है?"
   }
  },
  {
   "id": 2,
   "tier": 1,
   "concept": "Certain vs unlikely: a bag that is almost all one colour",
   "target": "blue",
   "bags": [
    {
     "objects": [
      {
       "colour": "red",
       "count": 4
      },
      {
       "colour": "blue",
       "count": 1
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "red",
       "count": 1
      },
      {
       "colour": "blue",
       "count": 4
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/5",
    "4/5"
   ],
   "hint": {
    "en": "Which bag is almost all blue?",
    "hi": "कौन सा थैला लगभग पूरा नीला है?"
   }
  },
  {
   "id": 3,
   "tier": 1,
   "concept": "Certain vs unlikely: a bag that is almost all one colour",
   "target": "green",
   "bags": [
    {
     "objects": [
      {
       "colour": "green",
       "count": 6
      },
      {
       "colour": "yellow",
       "count": 1
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "green",
       "count": 2
      },
      {
       "colour": "yellow",
       "count": 5
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "6/7",
    "2/7"
   ],
   "hint": {
    "en": "Which bag is almost all green?",
    "hi": "कौन सा थैला लगभग पूरा हरा है?"
   }
  },
  {
   "id": 4,
   "tier": 1,
   "concept": "Certain vs unlikely: a bag that is almost all one colour",
   "target": "yellow",
   "bags": [
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 1
      },
      {
       "colour": "purple",
       "count": 4
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 5
      },
      {
       "colour": "purple",
       "count": 1
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/5",
    "5/6"
   ],
   "hint": {
    "en": "Which bag is almost all yellow?",
    "hi": "कौन सा थैला लगभग पूरा पीला है?"
   }
  },
  {
   "id": 5,
   "tier": 1,
   "concept": "Certain vs unlikely: a bag that is almost all one colour",
   "target": "red",
   "bags": [
    {
     "objects": [
      {
       "colour": "red",
       "count": 3
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "red",
       "count": 1
      },
      {
       "colour": "blue",
       "count": 3
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "1/1",
    "1/4"
   ],
   "hint": {
    "en": "Which bag is almost all red?",
    "hi": "कौन सा थैला लगभग पूरा लाल है?"
   }
  },
  {
   "id": 6,
   "tier": 1,
   "concept": "Certain vs unlikely: a bag that is almost all one colour",
   "target": "blue",
   "bags": [
    {
     "objects": [
      {
       "colour": "blue",
       "count": 1
      },
      {
       "colour": "red",
       "count": 5
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "blue",
       "count": 4
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/6",
    "1/1"
   ],
   "hint": {
    "en": "Which bag is almost all blue?",
    "hi": "कौन सा थैला लगभग पूरा नीला है?"
   }
  },
  {
   "id": 7,
   "tier": 1,
   "concept": "Certain vs unlikely: a bag that is almost all one colour",
   "target": "purple",
   "bags": [
    {
     "objects": [
      {
       "colour": "purple",
       "count": 5
      },
      {
       "colour": "green",
       "count": 1
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "purple",
       "count": 1
      },
      {
       "colour": "green",
       "count": 5
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "5/6",
    "1/6"
   ],
   "hint": {
    "en": "Which bag is almost all purple?",
    "hi": "कौन सा थैला लगभग पूरा बैंगनी है?"
   }
  },
  {
   "id": 8,
   "tier": 1,
   "concept": "Certain vs unlikely: a bag that is almost all one colour",
   "target": "green",
   "bags": [
    {
     "objects": [
      {
       "colour": "green",
       "count": 1
      },
      {
       "colour": "red",
       "count": 6
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "green",
       "count": 6
      },
      {
       "colour": "red",
       "count": 1
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/7",
    "6/7"
   ],
   "hint": {
    "en": "Which bag is almost all green?",
    "hi": "कौन सा थैला लगभग पूरा हरा है?"
   }
  },
  {
   "id": 9,
   "tier": 1,
   "concept": "Certain vs unlikely: a bag that is almost all one colour",
   "target": "red",
   "bags": [
    {
     "objects": [
      {
       "colour": "red",
       "count": 6
      },
      {
       "colour": "yellow",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "red",
       "count": 2
      },
      {
       "colour": "yellow",
       "count": 6
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "3/4",
    "1/4"
   ],
   "hint": {
    "en": "Which bag is almost all red?",
    "hi": "कौन सा थैला लगभग पूरा लाल है?"
   }
  },
  {
   "id": 10,
   "tier": 1,
   "concept": "Certain vs unlikely: a bag that is almost all one colour",
   "target": "yellow",
   "bags": [
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 2
      },
      {
       "colour": "blue",
       "count": 5
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 6
      },
      {
       "colour": "blue",
       "count": 1
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "2/7",
    "6/7"
   ],
   "hint": {
    "en": "Which bag is almost all yellow?",
    "hi": "कौन सा थैला लगभग पूरा पीला है?"
   }
  },
  {
   "id": 11,
   "tier": 1,
   "concept": "Certain vs unlikely: a bag that is almost all one colour",
   "target": "blue",
   "bags": [
    {
     "objects": [
      {
       "colour": "blue",
       "count": 5
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "blue",
       "count": 1
      },
      {
       "colour": "green",
       "count": 4
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "1/1",
    "1/5"
   ],
   "hint": {
    "en": "Which bag is almost all blue?",
    "hi": "कौन सा थैला लगभग पूरा नीला है?"
   }
  },
  {
   "id": 12,
   "tier": 1,
   "concept": "Certain vs unlikely: a bag that is almost all one colour",
   "target": "purple",
   "bags": [
    {
     "objects": [
      {
       "colour": "purple",
       "count": 1
      },
      {
       "colour": "red",
       "count": 5
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "purple",
       "count": 5
      },
      {
       "colour": "red",
       "count": 1
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/6",
    "5/6"
   ],
   "hint": {
    "en": "Which bag is almost all purple?",
    "hi": "कौन सा थैला लगभग पूरा बैंगनी है?"
   }
  },
  {
   "id": 13,
   "tier": 2,
   "concept": "Proportion beats count: more of a colour is not enough, the others matter too",
   "target": "red",
   "bags": [
    {
     "objects": [
      {
       "colour": "red",
       "count": 3
      },
      {
       "colour": "blue",
       "count": 1
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "red",
       "count": 5
      },
      {
       "colour": "blue",
       "count": 5
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "3/4",
    "1/2"
   ],
   "hint": {
    "en": "More red is not enough. Look at the other balls too!",
    "hi": "सिर्फ़ ज़्यादा लाल काफ़ी नहीं। बाकी गोले भी देखो!"
   }
  },
  {
   "id": 14,
   "tier": 2,
   "concept": "Proportion beats count: more of a colour is not enough, the others matter too",
   "target": "blue",
   "bags": [
    {
     "objects": [
      {
       "colour": "blue",
       "count": 4
      },
      {
       "colour": "red",
       "count": 4
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "blue",
       "count": 3
      },
      {
       "colour": "red",
       "count": 2
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/2",
    "3/5"
   ],
   "hint": {
    "en": "More blue is not enough. Look at the other balls too!",
    "hi": "सिर्फ़ ज़्यादा नीले काफ़ी नहीं। बाकी गोले भी देखो!"
   }
  },
  {
   "id": 15,
   "tier": 2,
   "concept": "Proportion beats count: more of a colour is not enough, the others matter too",
   "target": "green",
   "bags": [
    {
     "objects": [
      {
       "colour": "green",
       "count": 2
      },
      {
       "colour": "yellow",
       "count": 1
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "green",
       "count": 4
      },
      {
       "colour": "yellow",
       "count": 4
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "2/3",
    "1/2"
   ],
   "hint": {
    "en": "More green is not enough. Look at the other balls too!",
    "hi": "सिर्फ़ ज़्यादा हरे काफ़ी नहीं। बाकी गोले भी देखो!"
   }
  },
  {
   "id": 16,
   "tier": 2,
   "concept": "Proportion beats count: more of a colour is not enough, the others matter too",
   "target": "yellow",
   "bags": [
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 5
      },
      {
       "colour": "purple",
       "count": 5
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 3
      },
      {
       "colour": "purple",
       "count": 1
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/2",
    "3/4"
   ],
   "hint": {
    "en": "More yellow is not enough. Look at the other balls too!",
    "hi": "सिर्फ़ ज़्यादा पीले काफ़ी नहीं। बाकी गोले भी देखो!"
   }
  },
  {
   "id": 17,
   "tier": 2,
   "concept": "Proportion beats count: more of a colour is not enough, the others matter too",
   "target": "red",
   "bags": [
    {
     "objects": [
      {
       "colour": "red",
       "count": 4
      },
      {
       "colour": "blue",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "red",
       "count": 6
      },
      {
       "colour": "blue",
       "count": 6
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "2/3",
    "1/2"
   ],
   "hint": {
    "en": "More red is not enough. Look at the other balls too!",
    "hi": "सिर्फ़ ज़्यादा लाल काफ़ी नहीं। बाकी गोले भी देखो!"
   }
  },
  {
   "id": 18,
   "tier": 2,
   "concept": "Proportion beats count: more of a colour is not enough, the others matter too",
   "target": "blue",
   "bags": [
    {
     "objects": [
      {
       "colour": "blue",
       "count": 2
      },
      {
       "colour": "red",
       "count": 3
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "blue",
       "count": 3
      },
      {
       "colour": "red",
       "count": 2
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "2/5",
    "3/5"
   ],
   "hint": {
    "en": "More blue is not enough. Look at the other balls too!",
    "hi": "सिर्फ़ ज़्यादा नीले काफ़ी नहीं। बाकी गोले भी देखो!"
   }
  },
  {
   "id": 19,
   "tier": 2,
   "concept": "Proportion beats count: more of a colour is not enough, the others matter too",
   "target": "green",
   "bags": [
    {
     "objects": [
      {
       "colour": "green",
       "count": 3
      },
      {
       "colour": "red",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "green",
       "count": 4
      },
      {
       "colour": "red",
       "count": 4
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "3/5",
    "1/2"
   ],
   "hint": {
    "en": "More green is not enough. Look at the other balls too!",
    "hi": "सिर्फ़ ज़्यादा हरे काफ़ी नहीं। बाकी गोले भी देखो!"
   }
  },
  {
   "id": 20,
   "tier": 2,
   "concept": "Proportion beats count: more of a colour is not enough, the others matter too",
   "target": "purple",
   "bags": [
    {
     "objects": [
      {
       "colour": "purple",
       "count": 6
      },
      {
       "colour": "yellow",
       "count": 5
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "purple",
       "count": 3
      },
      {
       "colour": "yellow",
       "count": 1
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "6/11",
    "3/4"
   ],
   "hint": {
    "en": "More purple is not enough. Look at the other balls too!",
    "hi": "सिर्फ़ ज़्यादा बैंगनी काफ़ी नहीं। बाकी गोले भी देखो!"
   }
  },
  {
   "id": 21,
   "tier": 2,
   "concept": "Proportion beats count: more of a colour is not enough, the others matter too",
   "target": "red",
   "bags": [
    {
     "objects": [
      {
       "colour": "red",
       "count": 2
      },
      {
       "colour": "blue",
       "count": 1
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "red",
       "count": 3
      },
      {
       "colour": "blue",
       "count": 3
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "2/3",
    "1/2"
   ],
   "hint": {
    "en": "More red is not enough. Look at the other balls too!",
    "hi": "सिर्फ़ ज़्यादा लाल काफ़ी नहीं। बाकी गोले भी देखो!"
   }
  },
  {
   "id": 22,
   "tier": 2,
   "concept": "Proportion beats count: more of a colour is not enough, the others matter too",
   "target": "yellow",
   "bags": [
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 4
      },
      {
       "colour": "green",
       "count": 5
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 5
      },
      {
       "colour": "green",
       "count": 3
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "4/9",
    "5/8"
   ],
   "hint": {
    "en": "More yellow is not enough. Look at the other balls too!",
    "hi": "सिर्फ़ ज़्यादा पीले काफ़ी नहीं। बाकी गोले भी देखो!"
   }
  },
  {
   "id": 23,
   "tier": 2,
   "concept": "Proportion beats count: more of a colour is not enough, the others matter too",
   "target": "blue",
   "bags": [
    {
     "objects": [
      {
       "colour": "blue",
       "count": 5
      },
      {
       "colour": "red",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "blue",
       "count": 6
      },
      {
       "colour": "red",
       "count": 4
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "5/7",
    "3/5"
   ],
   "hint": {
    "en": "More blue is not enough. Look at the other balls too!",
    "hi": "सिर्फ़ ज़्यादा नीले काफ़ी नहीं। बाकी गोले भी देखो!"
   }
  },
  {
   "id": 24,
   "tier": 2,
   "concept": "Proportion beats count: more of a colour is not enough, the others matter too",
   "target": "green",
   "bags": [
    {
     "objects": [
      {
       "colour": "green",
       "count": 3
      },
      {
       "colour": "purple",
       "count": 4
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "green",
       "count": 4
      },
      {
       "colour": "purple",
       "count": 2
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "3/7",
    "2/3"
   ],
   "hint": {
    "en": "More green is not enough. Look at the other balls too!",
    "hi": "सिर्फ़ ज़्यादा हरे काफ़ी नहीं। बाकी गोले भी देखो!"
   }
  },
  {
   "id": 25,
   "tier": 3,
   "concept": "Compare three bags at once",
   "target": "red",
   "bags": [
    {
     "objects": [
      {
       "colour": "red",
       "count": 1
      },
      {
       "colour": "blue",
       "count": 4
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "red",
       "count": 3
      },
      {
       "colour": "blue",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "red",
       "count": 2
      },
      {
       "colour": "blue",
       "count": 3
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/5",
    "3/5",
    "2/5"
   ],
   "hint": {
    "en": "Check all three bags. Where does red have the fewest rivals?",
    "hi": "तीनों थैले देखो। कहाँ लाल गोलों के सबसे कम साथी हैं?"
   }
  },
  {
   "id": 26,
   "tier": 3,
   "concept": "Compare three bags at once",
   "target": "blue",
   "bags": [
    {
     "objects": [
      {
       "colour": "blue",
       "count": 4
      },
      {
       "colour": "red",
       "count": 1
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "blue",
       "count": 2
      },
      {
       "colour": "red",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "blue",
       "count": 3
      },
      {
       "colour": "red",
       "count": 3
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "4/5",
    "1/2",
    "1/2"
   ],
   "hint": {
    "en": "Check all three bags. Where does blue have the fewest rivals?",
    "hi": "तीनों थैले देखो। कहाँ नीले गोलों के सबसे कम साथी हैं?"
   }
  },
  {
   "id": 27,
   "tier": 3,
   "concept": "Compare three bags at once",
   "target": "green",
   "bags": [
    {
     "objects": [
      {
       "colour": "green",
       "count": 2
      },
      {
       "colour": "yellow",
       "count": 4
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "green",
       "count": 3
      },
      {
       "colour": "yellow",
       "count": 3
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "green",
       "count": 5
      },
      {
       "colour": "yellow",
       "count": 1
      }
     ]
    }
   ],
   "correct_bag": 2,
   "chance": [
    "1/3",
    "1/2",
    "5/6"
   ],
   "hint": {
    "en": "Check all three bags. Where does green have the fewest rivals?",
    "hi": "तीनों थैले देखो। कहाँ हरे गोलों के सबसे कम साथी हैं?"
   }
  },
  {
   "id": 28,
   "tier": 3,
   "concept": "Compare three bags at once",
   "target": "yellow",
   "bags": [
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 2
      },
      {
       "colour": "purple",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 4
      },
      {
       "colour": "purple",
       "count": 1
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 1
      },
      {
       "colour": "purple",
       "count": 1
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/2",
    "4/5",
    "1/2"
   ],
   "hint": {
    "en": "Check all three bags. Where does yellow have the fewest rivals?",
    "hi": "तीनों थैले देखो। कहाँ पीले गोलों के सबसे कम साथी हैं?"
   }
  },
  {
   "id": 29,
   "tier": 3,
   "concept": "Compare three bags at once",
   "target": "red",
   "bags": [
    {
     "objects": [
      {
       "colour": "red",
       "count": 5
      },
      {
       "colour": "blue",
       "count": 5
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "red",
       "count": 2
      },
      {
       "colour": "blue",
       "count": 1
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "red",
       "count": 1
      },
      {
       "colour": "blue",
       "count": 3
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/2",
    "2/3",
    "1/4"
   ],
   "hint": {
    "en": "Check all three bags. Where does red have the fewest rivals?",
    "hi": "तीनों थैले देखो। कहाँ लाल गोलों के सबसे कम साथी हैं?"
   }
  },
  {
   "id": 30,
   "tier": 3,
   "concept": "Compare three bags at once",
   "target": "purple",
   "bags": [
    {
     "objects": [
      {
       "colour": "purple",
       "count": 3
      },
      {
       "colour": "green",
       "count": 1
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "purple",
       "count": 6
      },
      {
       "colour": "green",
       "count": 6
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "purple",
       "count": 1
      },
      {
       "colour": "green",
       "count": 2
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "3/4",
    "1/2",
    "1/3"
   ],
   "hint": {
    "en": "Check all three bags. Where does purple have the fewest rivals?",
    "hi": "तीनों थैले देखो। कहाँ बैंगनी गोलों के सबसे कम साथी हैं?"
   }
  },
  {
   "id": 31,
   "tier": 3,
   "concept": "Compare three bags at once",
   "target": "blue",
   "bags": [
    {
     "objects": [
      {
       "colour": "blue",
       "count": 1
      },
      {
       "colour": "yellow",
       "count": 1
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "blue",
       "count": 2
      },
      {
       "colour": "yellow",
       "count": 3
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "blue",
       "count": 3
      },
      {
       "colour": "yellow",
       "count": 1
      }
     ]
    }
   ],
   "correct_bag": 2,
   "chance": [
    "1/2",
    "2/5",
    "3/4"
   ],
   "hint": {
    "en": "Check all three bags. Where does blue have the fewest rivals?",
    "hi": "तीनों थैले देखो। कहाँ नीले गोलों के सबसे कम साथी हैं?"
   }
  },
  {
   "id": 32,
   "tier": 3,
   "concept": "Compare three bags at once",
   "target": "green",
   "bags": [
    {
     "objects": [
      {
       "colour": "green",
       "count": 4
      },
      {
       "colour": "red",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "green",
       "count": 2
      },
      {
       "colour": "red",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "green",
       "count": 6
      },
      {
       "colour": "red",
       "count": 6
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "2/3",
    "1/2",
    "1/2"
   ],
   "hint": {
    "en": "Check all three bags. Where does green have the fewest rivals?",
    "hi": "तीनों थैले देखो। कहाँ हरे गोलों के सबसे कम साथी हैं?"
   }
  },
  {
   "id": 33,
   "tier": 3,
   "concept": "Compare three bags at once",
   "target": "red",
   "bags": [
    {
     "objects": [
      {
       "colour": "red",
       "count": 3
      },
      {
       "colour": "blue",
       "count": 4
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "red",
       "count": 4
      },
      {
       "colour": "blue",
       "count": 3
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "red",
       "count": 2
      },
      {
       "colour": "blue",
       "count": 6
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "3/7",
    "4/7",
    "1/4"
   ],
   "hint": {
    "en": "Check all three bags. Where does red have the fewest rivals?",
    "hi": "तीनों थैले देखो। कहाँ लाल गोलों के सबसे कम साथी हैं?"
   }
  },
  {
   "id": 34,
   "tier": 3,
   "concept": "Compare three bags at once",
   "target": "yellow",
   "bags": [
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 1
      },
      {
       "colour": "blue",
       "count": 4
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 2
      },
      {
       "colour": "blue",
       "count": 4
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 3
      },
      {
       "colour": "blue",
       "count": 4
      }
     ]
    }
   ],
   "correct_bag": 2,
   "chance": [
    "1/5",
    "1/3",
    "3/7"
   ],
   "hint": {
    "en": "Check all three bags. Where does yellow have the fewest rivals?",
    "hi": "तीनों थैले देखो। कहाँ पीले गोलों के सबसे कम साथी हैं?"
   }
  },
  {
   "id": 35,
   "tier": 3,
   "concept": "Compare three bags at once",
   "target": "purple",
   "bags": [
    {
     "objects": [
      {
       "colour": "purple",
       "count": 5
      },
      {
       "colour": "red",
       "count": 1
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "purple",
       "count": 4
      },
      {
       "colour": "red",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "purple",
       "count": 3
      },
      {
       "colour": "red",
       "count": 3
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "5/6",
    "2/3",
    "1/2"
   ],
   "hint": {
    "en": "Check all three bags. Where does purple have the fewest rivals?",
    "hi": "तीनों थैले देखो। कहाँ बैंगनी गोलों के सबसे कम साथी हैं?"
   }
  },
  {
   "id": 36,
   "tier": 3,
   "concept": "Compare three bags at once",
   "target": "blue",
   "bags": [
    {
     "objects": [
      {
       "colour": "blue",
       "count": 2
      },
      {
       "colour": "green",
       "count": 6
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "blue",
       "count": 3
      },
      {
       "colour": "green",
       "count": 3
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "blue",
       "count": 4
      },
      {
       "colour": "green",
       "count": 2
      }
     ]
    }
   ],
   "correct_bag": 2,
   "chance": [
    "1/4",
    "1/2",
    "2/3"
   ],
   "hint": {
    "en": "Check all three bags. Where does blue have the fewest rivals?",
    "hi": "तीनों थैले देखो। कहाँ नीले गोलों के सबसे कम साथी हैं?"
   }
  },
  {
   "id": 37,
   "tier": 4,
   "concept": "How much more likely: one bag gives the colour two, three or four times as often",
   "target": "red",
   "bags": [
    {
     "objects": [
      {
       "colour": "red",
       "count": 2
      },
      {
       "colour": "blue",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "red",
       "count": 1
      },
      {
       "colour": "blue",
       "count": 3
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "1/2",
    "1/4"
   ],
   "hint": {
    "en": "One bag gives red twice as often. Find it!",
    "hi": "एक थैले में लाल दो गुना ज़्यादा निकलता है। ढूँढो!"
   }
  },
  {
   "id": 38,
   "tier": 4,
   "concept": "How much more likely: one bag gives the colour two, three or four times as often",
   "target": "blue",
   "bags": [
    {
     "objects": [
      {
       "colour": "blue",
       "count": 1
      },
      {
       "colour": "red",
       "count": 5
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "blue",
       "count": 3
      },
      {
       "colour": "red",
       "count": 3
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/6",
    "1/2"
   ],
   "hint": {
    "en": "One bag gives blue three times as often. Find it!",
    "hi": "एक थैले में नीला तीन गुना ज़्यादा निकलता है। ढूँढो!"
   }
  },
  {
   "id": 39,
   "tier": 4,
   "concept": "How much more likely: one bag gives the colour two, three or four times as often",
   "target": "green",
   "bags": [
    {
     "objects": [
      {
       "colour": "green",
       "count": 4
      },
      {
       "colour": "yellow",
       "count": 4
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "green",
       "count": 2
      },
      {
       "colour": "yellow",
       "count": 6
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "1/2",
    "1/4"
   ],
   "hint": {
    "en": "One bag gives green twice as often. Find it!",
    "hi": "एक थैले में हरा दो गुना ज़्यादा निकलता है। ढूँढो!"
   }
  },
  {
   "id": 40,
   "tier": 4,
   "concept": "How much more likely: one bag gives the colour two, three or four times as often",
   "target": "yellow",
   "bags": [
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 1
      },
      {
       "colour": "purple",
       "count": 3
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 3
      },
      {
       "colour": "purple",
       "count": 1
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/4",
    "3/4"
   ],
   "hint": {
    "en": "One bag gives yellow three times as often. Find it!",
    "hi": "एक थैले में पीला तीन गुना ज़्यादा निकलता है। ढूँढो!"
   }
  },
  {
   "id": 41,
   "tier": 4,
   "concept": "How much more likely: one bag gives the colour two, three or four times as often",
   "target": "red",
   "bags": [
    {
     "objects": [
      {
       "colour": "red",
       "count": 4
      },
      {
       "colour": "blue",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "red",
       "count": 2
      },
      {
       "colour": "blue",
       "count": 4
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "2/3",
    "1/3"
   ],
   "hint": {
    "en": "One bag gives red twice as often. Find it!",
    "hi": "एक थैले में लाल दो गुना ज़्यादा निकलता है। ढूँढो!"
   }
  },
  {
   "id": 42,
   "tier": 4,
   "concept": "How much more likely: one bag gives the colour two, three or four times as often",
   "target": "purple",
   "bags": [
    {
     "objects": [
      {
       "colour": "purple",
       "count": 1
      },
      {
       "colour": "green",
       "count": 7
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "purple",
       "count": 2
      },
      {
       "colour": "green",
       "count": 2
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/8",
    "1/2"
   ],
   "hint": {
    "en": "One bag gives purple four times as often. Find it!",
    "hi": "एक थैले में बैंगनी चार गुना ज़्यादा निकलता है। ढूँढो!"
   }
  },
  {
   "id": 43,
   "tier": 4,
   "concept": "How much more likely: one bag gives the colour two, three or four times as often",
   "target": "blue",
   "bags": [
    {
     "objects": [
      {
       "colour": "blue",
       "count": 6
      },
      {
       "colour": "red",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "blue",
       "count": 2
      },
      {
       "colour": "red",
       "count": 6
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "3/4",
    "1/4"
   ],
   "hint": {
    "en": "One bag gives blue three times as often. Find it!",
    "hi": "एक थैले में नीला तीन गुना ज़्यादा निकलता है। ढूँढो!"
   }
  },
  {
   "id": 44,
   "tier": 4,
   "concept": "How much more likely: one bag gives the colour two, three or four times as often",
   "target": "green",
   "bags": [
    {
     "objects": [
      {
       "colour": "green",
       "count": 1
      },
      {
       "colour": "red",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "green",
       "count": 2
      },
      {
       "colour": "red",
       "count": 1
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/3",
    "2/3"
   ],
   "hint": {
    "en": "One bag gives green twice as often. Find it!",
    "hi": "एक थैले में हरा दो गुना ज़्यादा निकलता है। ढूँढो!"
   }
  },
  {
   "id": 45,
   "tier": 4,
   "concept": "How much more likely: one bag gives the colour two, three or four times as often",
   "target": "red",
   "bags": [
    {
     "objects": [
      {
       "colour": "red",
       "count": 3
      },
      {
       "colour": "blue",
       "count": 1
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "red",
       "count": 1
      },
      {
       "colour": "blue",
       "count": 3
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "3/4",
    "1/4"
   ],
   "hint": {
    "en": "One bag gives red three times as often. Find it!",
    "hi": "एक थैले में लाल तीन गुना ज़्यादा निकलता है। ढूँढो!"
   }
  },
  {
   "id": 46,
   "tier": 4,
   "concept": "How much more likely: one bag gives the colour two, three or four times as often",
   "target": "yellow",
   "bags": [
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 2
      },
      {
       "colour": "blue",
       "count": 6
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 4
      },
      {
       "colour": "blue",
       "count": 4
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/4",
    "1/2"
   ],
   "hint": {
    "en": "One bag gives yellow twice as often. Find it!",
    "hi": "एक थैले में पीला दो गुना ज़्यादा निकलता है। ढूँढो!"
   }
  },
  {
   "id": 47,
   "tier": 4,
   "concept": "How much more likely: one bag gives the colour two, three or four times as often",
   "target": "purple",
   "bags": [
    {
     "objects": [
      {
       "colour": "purple",
       "count": 4
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "purple",
       "count": 2
      },
      {
       "colour": "red",
       "count": 2
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "1/1",
    "1/2"
   ],
   "hint": {
    "en": "One bag gives purple twice as often. Find it!",
    "hi": "एक थैले में बैंगनी दो गुना ज़्यादा निकलता है। ढूँढो!"
   }
  },
  {
   "id": 48,
   "tier": 4,
   "concept": "How much more likely: one bag gives the colour two, three or four times as often",
   "target": "blue",
   "bags": [
    {
     "objects": [
      {
       "colour": "blue",
       "count": 1
      },
      {
       "colour": "green",
       "count": 4
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "blue",
       "count": 3
      },
      {
       "colour": "green",
       "count": 2
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/5",
    "3/5"
   ],
   "hint": {
    "en": "One bag gives blue three times as often. Find it!",
    "hi": "एक थैले में नीला तीन गुना ज़्यादा निकलता है। ढूँढो!"
   }
  },
  {
   "id": 49,
   "tier": 5,
   "concept": "Mixed challenges: many colours in a bag, compare one colour against all the rest",
   "target": "red",
   "bags": [
    {
     "objects": [
      {
       "colour": "red",
       "count": 2
      },
      {
       "colour": "blue",
       "count": 2
      },
      {
       "colour": "green",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "red",
       "count": 2
      },
      {
       "colour": "blue",
       "count": 1
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/3",
    "2/3"
   ],
   "hint": {
    "en": "So many colours! Compare red with all the rest together.",
    "hi": "कितने रंग! लाल को बाकी सब से मिलाकर देखो।"
   }
  },
  {
   "id": 50,
   "tier": 5,
   "concept": "Mixed challenges: many colours in a bag, compare one colour against all the rest",
   "target": "blue",
   "bags": [
    {
     "objects": [
      {
       "colour": "blue",
       "count": 3
      },
      {
       "colour": "red",
       "count": 1
      },
      {
       "colour": "yellow",
       "count": 1
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "blue",
       "count": 4
      },
      {
       "colour": "red",
       "count": 4
      },
      {
       "colour": "yellow",
       "count": 2
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "3/5",
    "2/5"
   ],
   "hint": {
    "en": "So many colours! Compare blue with all the rest together.",
    "hi": "कितने रंग! नीले को बाकी सब से मिलाकर देखो।"
   }
  },
  {
   "id": 51,
   "tier": 5,
   "concept": "Mixed challenges: many colours in a bag, compare one colour against all the rest",
   "target": "green",
   "bags": [
    {
     "objects": [
      {
       "colour": "green",
       "count": 2
      },
      {
       "colour": "purple",
       "count": 2
      },
      {
       "colour": "yellow",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "green",
       "count": 3
      },
      {
       "colour": "purple",
       "count": 1
      },
      {
       "colour": "yellow",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "green",
       "count": 2
      },
      {
       "colour": "purple",
       "count": 1
      }
     ]
    }
   ],
   "correct_bag": 2,
   "chance": [
    "1/3",
    "1/2",
    "2/3"
   ],
   "hint": {
    "en": "So many colours! Compare green with all the rest together.",
    "hi": "कितने रंग! हरे को बाकी सब से मिलाकर देखो।"
   }
  },
  {
   "id": 52,
   "tier": 5,
   "concept": "Mixed challenges: many colours in a bag, compare one colour against all the rest",
   "target": "yellow",
   "bags": [
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 5
      },
      {
       "colour": "red",
       "count": 5
      },
      {
       "colour": "blue",
       "count": 5
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 2
      },
      {
       "colour": "red",
       "count": 1
      },
      {
       "colour": "blue",
       "count": 1
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/3",
    "1/2"
   ],
   "hint": {
    "en": "So many colours! Compare yellow with all the rest together.",
    "hi": "कितने रंग! पीले को बाकी सब से मिलाकर देखो।"
   }
  },
  {
   "id": 53,
   "tier": 5,
   "concept": "Mixed challenges: many colours in a bag, compare one colour against all the rest",
   "target": "purple",
   "bags": [
    {
     "objects": [
      {
       "colour": "purple",
       "count": 4
      },
      {
       "colour": "green",
       "count": 1
      },
      {
       "colour": "blue",
       "count": 1
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "purple",
       "count": 6
      },
      {
       "colour": "green",
       "count": 3
      },
      {
       "colour": "blue",
       "count": 3
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "purple",
       "count": 2
      },
      {
       "colour": "green",
       "count": 2
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "2/3",
    "1/2",
    "1/2"
   ],
   "hint": {
    "en": "So many colours! Compare purple with all the rest together.",
    "hi": "कितने रंग! बैंगनी को बाकी सब से मिलाकर देखो।"
   }
  },
  {
   "id": 54,
   "tier": 5,
   "concept": "Mixed challenges: many colours in a bag, compare one colour against all the rest",
   "target": "red",
   "bags": [
    {
     "objects": [
      {
       "colour": "red",
       "count": 3
      },
      {
       "colour": "blue",
       "count": 3
      },
      {
       "colour": "green",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "red",
       "count": 1
      },
      {
       "colour": "blue",
       "count": 1
      },
      {
       "colour": "green",
       "count": 1
      },
      {
       "colour": "yellow",
       "count": 1
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "3/8",
    "1/4"
   ],
   "hint": {
    "en": "So many colours! Compare red with all the rest together.",
    "hi": "कितने रंग! लाल को बाकी सब से मिलाकर देखो।"
   }
  },
  {
   "id": 55,
   "tier": 5,
   "concept": "Mixed challenges: many colours in a bag, compare one colour against all the rest",
   "target": "blue",
   "bags": [
    {
     "objects": [
      {
       "colour": "blue",
       "count": 2
      },
      {
       "colour": "red",
       "count": 3
      },
      {
       "colour": "green",
       "count": 3
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "blue",
       "count": 3
      },
      {
       "colour": "red",
       "count": 3
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "blue",
       "count": 5
      },
      {
       "colour": "red",
       "count": 6
      },
      {
       "colour": "green",
       "count": 4
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/4",
    "1/2",
    "1/3"
   ],
   "hint": {
    "en": "So many colours! Compare blue with all the rest together.",
    "hi": "कितने रंग! नीले को बाकी सब से मिलाकर देखो।"
   }
  },
  {
   "id": 56,
   "tier": 5,
   "concept": "Mixed challenges: many colours in a bag, compare one colour against all the rest",
   "target": "green",
   "bags": [
    {
     "objects": [
      {
       "colour": "green",
       "count": 6
      },
      {
       "colour": "yellow",
       "count": 3
      },
      {
       "colour": "purple",
       "count": 3
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "green",
       "count": 3
      },
      {
       "colour": "yellow",
       "count": 1
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/2",
    "3/4"
   ],
   "hint": {
    "en": "So many colours! Compare green with all the rest together.",
    "hi": "कितने रंग! हरे को बाकी सब से मिलाकर देखो।"
   }
  },
  {
   "id": 57,
   "tier": 5,
   "concept": "Mixed challenges: many colours in a bag, compare one colour against all the rest",
   "target": "yellow",
   "bags": [
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 4
      },
      {
       "colour": "blue",
       "count": 2
      },
      {
       "colour": "red",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 3
      },
      {
       "colour": "blue",
       "count": 1
      },
      {
       "colour": "red",
       "count": 1
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "yellow",
       "count": 7
      },
      {
       "colour": "blue",
       "count": 7
      }
     ]
    }
   ],
   "correct_bag": 1,
   "chance": [
    "1/2",
    "3/5",
    "1/2"
   ],
   "hint": {
    "en": "So many colours! Compare yellow with all the rest together.",
    "hi": "कितने रंग! पीले को बाकी सब से मिलाकर देखो।"
   }
  },
  {
   "id": 58,
   "tier": 5,
   "concept": "Mixed challenges: many colours in a bag, compare one colour against all the rest",
   "target": "red",
   "bags": [
    {
     "objects": [
      {
       "colour": "red",
       "count": 1
      },
      {
       "colour": "blue",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "red",
       "count": 2
      },
      {
       "colour": "blue",
       "count": 2
      },
      {
       "colour": "green",
       "count": 2
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "red",
       "count": 4
      },
      {
       "colour": "blue",
       "count": 2
      },
      {
       "colour": "green",
       "count": 1
      }
     ]
    }
   ],
   "correct_bag": 2,
   "chance": [
    "1/3",
    "1/3",
    "4/7"
   ],
   "hint": {
    "en": "So many colours! Compare red with all the rest together.",
    "hi": "कितने रंग! लाल को बाकी सब से मिलाकर देखो।"
   }
  },
  {
   "id": 59,
   "tier": 5,
   "concept": "Mixed challenges: many colours in a bag, compare one colour against all the rest",
   "target": "purple",
   "bags": [
    {
     "objects": [
      {
       "colour": "purple",
       "count": 3
      },
      {
       "colour": "red",
       "count": 2
      },
      {
       "colour": "blue",
       "count": 1
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "purple",
       "count": 5
      },
      {
       "colour": "red",
       "count": 3
      },
      {
       "colour": "blue",
       "count": 3
      }
     ]
    }
   ],
   "correct_bag": 0,
   "chance": [
    "1/2",
    "5/11"
   ],
   "hint": {
    "en": "So many colours! Compare purple with all the rest together.",
    "hi": "कितने रंग! बैंगनी को बाकी सब से मिलाकर देखो।"
   }
  },
  {
   "id": 60,
   "tier": 5,
   "concept": "Mixed challenges: many colours in a bag, compare one colour against all the rest",
   "target": "blue",
   "bags": [
    {
     "objects": [
      {
       "colour": "blue",
       "count": 2
      },
      {
       "colour": "yellow",
       "count": 1
      },
      {
       "colour": "green",
       "count": 1
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "blue",
       "count": 6
      },
      {
       "colour": "yellow",
       "count": 3
      },
      {
       "colour": "green",
       "count": 3
      }
     ]
    },
    {
     "objects": [
      {
       "colour": "blue",
       "count": 4
      },
      {
       "colour": "yellow",
       "count": 1
      }
     ]
    }
   ],
   "correct_bag": 2,
   "chance": [
    "1/2",
    "1/2",
    "4/5"
   ],
   "hint": {
    "en": "So many colours! Compare blue with all the rest together.",
    "hi": "कितने रंग! नीले को बाकी सब से मिलाकर देखो।"
   }
  }
 ]
}