{
  "title": "Probability (Data Handling) - Grade 8 ICSE",
  "total_questions": 60,
  "questions": [
    {
      "id": 1,
      "difficulty": "easy",
      "question": "🎲 Probability ranges from ___ to ___.",
      "options": {
        "A": "0 to 10",
        "B": "1 to 100",
        "C": "0 to 1",
        "D": "-1 to 1"
      },
      "correct_answer": "C"
    },
    {
      "id": 2,
      "difficulty": "easy",
      "question": "📊 If an event is certain, its probability is ___.",
      "options": { "A": 0, "B": 0.5, "C": 1, "D": 2 },
      "correct_answer": "C"
    },
    {
      "id": 3,
      "difficulty": "easy",
      "question": "🎯 If an event is impossible, probability = ___.",
      "options": { "A": "0", "B": "0.5", "C": "1", "D": "10" },
      "correct_answer": "A"
    },
    {
      "id": 4,
      "difficulty": "easy",
      "question": "📈 Tossing a fair coin, probability of heads = ___.",
      "options": { "A": "0", "B": "0.25", "C": "0.5", "D": "1" },
      "correct_answer": "C"
    },
    {
      "id": 5,
      "difficulty": "easy",
      "question": "🎲 A die has ___ faces.",
      "options": { "A": 4, "B": 5, "C": 6, "D": 8 },
      "correct_answer": "C"
    },
    {
      "id": 6,
      "difficulty": "easy",
      "question": "📊 Rolling a die, probability of getting 3 = ___.",
      "options": { "A": "1/2", "B": "1/3", "C": "1/6", "D": "1/4" },
      "correct_answer": "C"
    },
    {
      "id": 7,
      "difficulty": "easy",
      "question": "🎯 In a deck of cards, total cards = ___.",
      "options": { "A": 48, "B": 50, "C": 52, "D": 54 },
      "correct_answer": "C"
    },
    {
      "id": 8,
      "difficulty": "easy",
      "question": "📈 Probability = (Number of favorable outcomes) / ___.",
      "options": {
        "A": "Total outcomes",
        "B": "Possible outcomes",
        "C": "Impossible outcomes",
        "D": "Certain outcomes"
      },
      "correct_answer": "A"
    },
    {
      "id": 9,
      "difficulty": "easy",
      "question": "🎲 If P(event) = 0.7, then P(not event) = ___.",
      "options": {
        "A": "0.3",
        "B": "0.2",
        "C": "0.5",
        "D": "0.7"
      },
      "correct_answer": "A"
    },
    {
      "id": 10,
      "difficulty": "easy",
      "question": "📊 A bag has 3 red, 2 blue balls. Total balls?",
      "options": { "A": 3, "B": 4, "C": 5, "D": 6 },
      "correct_answer": "C"
    },
    {
      "id": 11,
      "difficulty": "easy",
      "question": "🎯 Probability of getting an even number on a die?",
      "options": { "A": "1/6", "B": "1/3", "C": "1/2", "D": "2/3" },
      "correct_answer": "C"
    },
    {
      "id": 12,
      "difficulty": "easy",
      "question": "📈 If P(rain) = 0.8, what is P(no rain)?",
      "options": {
        "A": "0.2",
        "B": "0.1",
        "C": "0.5",
        "D": "0.8"
      },
      "correct_answer": "A"
    },
    {
      "id": 13,
      "difficulty": "easy",
      "question": "🎲 A coin is tossed twice. Total outcomes?",
      "options": { "A": 2, "B": 3, "C": 4, "D": 6 },
      "correct_answer": "C"
    },
    {
      "id": 14,
      "difficulty": "easy",
      "question": "📊 Probability can be expressed as a fraction, decimal, or ___.",
      "options": {
        "A": "angle",
        "B": "percentage",
        "C": "ratio only",
        "D": "graph"
      },
      "correct_answer": "B"
    },
    {
      "id": 15,
      "difficulty": "easy",
      "question": "🎯 If all outcomes are equally likely, we use ___ probability.",
      "options": {
        "A": "theoretical",
        "B": "experimental",
        "C": "subjective",
        "D": "conditional"
      },
      "correct_answer": "A"
    },
    {
      "id": 16,
      "difficulty": "easy",
      "question": "📈 A sure event has probability ___.",
      "options": { "A": "0", "B": "0.5", "C": "1", "D": "2" },
      "correct_answer": "C"
    },
    {
      "id": 17,
      "difficulty": "easy",
      "question": "🎲 From a deck, probability of drawing a heart?",
      "options": { "A": "1/4", "B": "1/13", "C": "1/52", "D": "1/2" },
      "correct_answer": "A"
    },
    {
      "id": 18,
      "difficulty": "easy",
      "question": "📊 If a spinner has 4 equal parts, probability of one part?",
      "options": { "A": "1/8", "B": "1/4", "C": "1/2", "D": "1" },
      "correct_answer": "B"
    },
    {
      "id": 19,
      "difficulty": "easy",
      "question": "🎯 Probability of getting 7 on a die?",
      "options": { "A": "0", "B": "1/6", "C": "1/2", "D": "1" },
      "correct_answer": "A"
    },
    {
      "id": 20,
      "difficulty": "easy",
      "question": "📈 The sum of probabilities of all possible outcomes = ___.",
      "options": { "A": "0", "B": "0.5", "C": "1", "D": "10" },
      "correct_answer": "C"
    },
    {
      "id": 21,
      "difficulty": "medium",
      "question": "🎲 A bag has 5 white, 3 black balls. Probability of drawing a white ball?",
      "options": { "A": "3/8", "B": "5/8", "C": "1/2", "D": "2/5" },
      "correct_answer": "B"
    },
    {
      "id": 22,
      "difficulty": "medium",
      "question": "📊 Two coins tossed. Probability of getting at least one head?",
      "options": { "A": "1/4", "B": "1/2", "C": "3/4", "D": "1" },
      "correct_answer": "C"
    },
    {
      "id": 23,
      "difficulty": "medium",
      "question": "🎯 A die is rolled. Probability of prime number? (Primes: 2,3,5)",
      "options": {
        "A": "1/6",
        "B": "2/6",
        "C": "3/6",
        "D": "4/6"
      },
      "correct_answer": "C"
    },
    {
      "id": 24,
      "difficulty": "medium",
      "question": "📈 Cards: 52. Probability of drawing a king?",
      "options": { "A": "1/13", "B": "1/4", "C": "1/52", "D": "4/13" },
      "correct_answer": "A"
    },
    {
      "id": 25,
      "difficulty": "medium",
      "question": "🎲 A jar has 10 marbles: 4 red, 6 blue. Probability of not red?",
      "options": { "A": "2/5", "B": "3/5", "C": "1/2", "D": "4/5" },
      "correct_answer": "B"
    },
    {
      "id": 26,
      "difficulty": "medium",
      "question": "📊 Probability of getting sum 7 when two dice are rolled?",
      "options": { "A": "1/6", "B": "1/12", "C": "1/18", "D": "1/36" },
      "correct_answer": "A"
    },
    {
      "id": 27,
      "difficulty": "medium",
      "question": "🎯 From 1 to 20, probability of picking an even number?",
      "options": { "A": "1/4", "B": "1/2", "C": "3/4", "D": "9/10" },
      "correct_answer": "B"
    },
    {
      "id": 28,
      "difficulty": "medium",
      "question": "📈 A spinner numbered 1-8. Probability of multiple of 3?",
      "options": {
        "A": "1/4",
        "B": "3/8",
        "C": "1/2",
        "D": "5/8"
      },
      "correct_answer": "B"
    },
    {
      "id": 29,
      "difficulty": "medium",
      "question": "🎲 Probability of drawing a red card from a deck?",
      "options": { "A": "1/4", "B": "1/2", "C": "1/13", "D": "1/26" },
      "correct_answer": "B"
    },
    {
      "id": 30,
      "difficulty": "medium",
      "question": "📊 A box has 3 green, 4 yellow, 5 red pens. Probability of not green?",
      "options": { "A": "1/4", "B": "3/4", "C": "1/3", "D": "2/3" },
      "correct_answer": "B"
    },
    {
      "id": 31,
      "difficulty": "medium",
      "question": "🎯 Two dice rolled. Probability of doublet (same numbers)?",
      "options": { "A": "1/6", "B": "1/12", "C": "1/18", "D": "1/36" },
      "correct_answer": "A"
    },
    {
      "id": 32,
      "difficulty": "medium",
      "question": "📈 Probability of drawing a face card (Jack, Queen, King)?",
      "options": {
        "A": "12/52",
        "B": "9/52",
        "C": "3/52",
        "D": "16/52"
      },
      "correct_answer": "A"
    },
    {
      "id": 33,
      "difficulty": "medium",
      "question": "🎲 A number from 1 to 50. Probability of being divisible by 5?",
      "options": {
        "A": "9/50",
        "B": "10/50",
        "C": "11/50",
        "D": "12/50"
      },
      "correct_answer": "B"
    },
    {
      "id": 34,
      "difficulty": "medium",
      "question": "📊 Bag: 6 red, 4 blue balls. Two drawn without replacement. Probability first red, second blue?",
      "options": {
        "A": "6/10 × 4/9",
        "B": "24/90",
        "C": "4/10 × 6/9",
        "D": "6/10 × 6/9"
      },
      "correct_answer": "A"
    },
    {
      "id": 35,
      "difficulty": "medium",
      "question": "🎯 Probability of getting a total of 10 when two dice are rolled?",
      "options": {
        "A": "1/12",
        "B": "1/9",
        "C": "1/18",
        "D": "1/6"
      },
      "correct_answer": "A"
    },
    {
      "id": 36,
      "difficulty": "medium",
      "question": "📈 From word 'MATHEMATICS', probability of picking letter M?",
      "options": { "A": "1/11", "B": "2/11", "C": "1/5", "D": "3/11" },
      "correct_answer": "B"
    },
    {
      "id": 37,
      "difficulty": "medium",
      "question": "🎲 A fair coin tossed 3 times. Probability of exactly 2 heads?",
      "options": { "A": "1/8", "B": "3/8", "C": "1/2", "D": "5/8" },
      "correct_answer": "B"
    },
    {
      "id": 38,
      "difficulty": "medium",
      "question": "📊 Probability of drawing a spade or a king from a deck?",
      "options": {
        "A": "16/52",
        "B": "17/52",
        "C": "13/52",
        "D": "15/52"
      },
      "correct_answer": "A"
    },
    {
      "id": 39,
      "difficulty": "medium",
      "question": "🎯 Numbers 1-30. Probability of a perfect square?",
      "options": {
        "A": "5/30",
        "B": "4/30",
        "C": "6/30",
        "D": "7/30"
      },
      "correct_answer": "A"
    },
    {
      "id": 40,
      "difficulty": "medium",
      "question": "📈 A class has 12 boys, 18 girls. Probability of selecting a girl?",
      "options": { "A": "2/5", "B": "3/5", "C": "1/2", "D": "2/3" },
      "correct_answer": "B"
    },
    {
      "id": 41,
      "difficulty": "hard",
      "question": "🎲 Three coins tossed. Probability of at most one head?",
      "options": {
        "A": "4/8",
        "B": "3/8",
        "C": "5/8",
        "D": "2/8"
      },
      "correct_answer": "A"
    },
    {
      "id": 42,
      "difficulty": "hard",
      "question": "📊 Bag A: 3 white, 2 black. Bag B: 4 white, 1 black. One bag chosen at random, then a ball. Probability ball is white?",
      "options": { "A": "3/5", "B": "7/10", "C": "4/5", "D": "11/15" },
      "correct_answer": "B"
    },
    {
      "id": 43,
      "difficulty": "hard",
      "question": "🎯 Two dice rolled. Probability that sum is prime?",
      "options": {
        "A": "15/36",
        "B": "12/36",
        "C": "14/36",
        "D": "16/36"
      },
      "correct_answer": "A"
    },
    {
      "id": 44,
      "difficulty": "hard",
      "question": "📈 A card drawn from deck, replaced, then another drawn. Probability both are aces?",
      "options": {
        "A": "4/169",
        "B": "16/221",
        "C": "1/169",
        "D": "2/169"
      },
      "correct_answer": "A"
    },
    {
      "id": 45,
      "difficulty": "hard",
      "question": "🎲 Probability that a leap year has 53 Sundays?",
      "options": { "A": "1/7", "B": "2/7", "C": "3/7", "D": "4/7" },
      "correct_answer": "B"
    },
    {
      "id": 46,
      "difficulty": "hard",
      "question": "📊 A number chosen from 1-100. Probability it is divisible by 4 or 6?",
      "options": {
        "A": "25/100",
        "B": "16/100",
        "C": "41/100",
        "D": "8/100"
      },
      "correct_answer": "C"
    },
    {
      "id": 47,
      "difficulty": "hard",
      "question": "🎯 Two cards drawn from deck without replacement. Probability both are hearts?",
      "options": {
        "A": "(13/52) × (12/51)",
        "B": "(13/52) × (13/51)",
        "C": "(12/52) × (11/51)",
        "D": "1/17"
      },
      "correct_answer": "A"
    },
    {
      "id": 48,
      "difficulty": "hard",
      "question": "📈 A bag has 5 red, 7 blue. Two balls drawn. Probability they are different colors?",
      "options": { "A": "35/66", "B": "5/12", "C": "7/12", "D": "1/2" },
      "correct_answer": "A"
    },
    {
      "id": 49,
      "difficulty": "hard",
      "question": "🎲 Probability that a number from 1-300 is divisible by 3 or 5?",
      "options": {
        "A": "135/300",
        "B": "160/300",
        "C": "140/300",
        "D": "165/300"
      },
      "correct_answer": "A"
    },
    {
      "id": 50,
      "difficulty": "hard",
      "question": "📊 In a class, 40% like math, 50% like science, 10% like both. Probability a student likes math or science?",
      "options": {
        "A": "80%",
        "B": "90%",
        "C": "100%",
        "D": "70%"
      },
      "correct_answer": "A"
    },
    {
      "id": 51,
      "difficulty": "hard",
      "question": "🎯 A die is rolled twice. Probability second number > first?",
      "options": {
        "A": "15/36",
        "B": "18/36",
        "C": "21/36",
        "D": "20/36"
      },
      "correct_answer": "A"
    },
    {
      "id": 52,
      "difficulty": "hard",
      "question": "📈 Three students solve a problem independently with probabilities 1/2, 1/3, 1/4. Probability at least one solves it?",
      "options": {
        "A": "23/24",
        "B": "19/24",
        "C": "11/24",
        "D": "1 - (1/2 × 2/3 × 3/4)"
      },
      "correct_answer": "A"
    },
    {
      "id": 53,
      "difficulty": "hard",
      "question": "🎲 A speaks truth 3/4 times, B 4/5 times. They agree on a statement. Probability statement is true?",
      "options": {
        "A": "12/17",
        "B": "13/17",
        "C": "15/17",
        "D": "( (3/4)(4/5) + (1/4)(1/5) ) / ( (3/4)(4/5) + (1/4)(1/5) + 2*(3/4)(1/5) )"
      },
      "correct_answer": "A"
    },
    {
      "id": 54,
      "difficulty": "hard",
      "question": "📊 From 1-20, two numbers chosen. Probability sum is even?",
      "options": {
        "A": "90/190",
        "B": "100/190",
        "C": "95/190",
        "D": "105/190"
      },
      "correct_answer": "A"
    },
    {
      "id": 55,
      "difficulty": "hard",
      "question": "🎯 A box has 10 good, 2 defective bulbs. Two drawn. Probability at least one is good?",
      "options": {
        "A": "1 - 2/12 * 1/11",
        "B": "1 - 10/12 * 9/11",
        "C": "10/12 + 2/12",
        "D": "20/66"
      },
      "correct_answer": "A"
    },
    {
      "id": 56,
      "difficulty": "hard",
      "question": "📈 Probability of getting 53 Mondays in a non-leap year?",
      "options": {
        "A": "1/7",
        "B": "2/7",
        "C": "3/7",
        "D": "0"
      },
      "correct_answer": "A"
    },
    {
      "id": 57,
      "difficulty": "hard",
      "question": "🎲 Two dice rolled. Probability sum is divisible by 3 or 4?",
      "options": {
        "A": "20/36",
        "B": "18/36",
        "C": "16/36",
        "D": "21/36"
      },
      "correct_answer": "A"
    },
    {
      "id": 58,
      "difficulty": "hard",
      "question": "📊 A coin biased: heads 2/3, tails 1/3. Tossed twice. Probability of one head, one tail?",
      "options": {
        "A": "4/9",
        "B": "5/9",
        "C": "2/3",
        "D": "1/3"
      },
      "correct_answer": "A"
    },
    {
      "id": 59,
      "difficulty": "hard",
      "question": "🎯 Numbers 1-15 written on cards. Probability chosen number is odd or prime?",
      "options": {
        "A": "13/15",
        "B": "11/15",
        "C": "12/15",
        "D": "10/15"
      },
      "correct_answer": "A"
    },
    {
      "id": 60,
      "difficulty": "hard",
      "question": "📈 In a lottery, 10 tickets, 2 prizes. Probability a person with 2 tickets wins at least one prize?",
      "options": {
        "A": "17/45",
        "B": "1 - (8/10 × 7/9)",
        "C": "28/45",
        "D": "19/45"
      },
      "correct_answer": "B"
    }
  ]
}