{
  "title": "Cards, Dice Problems - Grade 10 ICSE",
  "total_questions": 60,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "Standard deck has how many cards? 🃏", "options": {"A": "52", "B": "48", "C": "54", "D": "50"}, "correct_answer": "A"},
    {"id": 2, "difficulty": "easy", "question": "How many face cards in deck? 👑", "options": {"A": "12", "B": "16", "C": "20", "D": "8"}, "correct_answer": "A"},
    {"id": 3, "difficulty": "easy", "question": "Probability of head when tossing coin? 🪙", "options": {"A": "1/2", "B": "1/4", "C": "1", "D": "0"}, "correct_answer": "A"},
    {"id": 4, "difficulty": "easy", "question": "Standard dice has how many faces? 🎲", "options": {"A": "6", "B": "4", "C": "8", "D": "10"}, "correct_answer": "A"},
    {"id": 5, "difficulty": "easy", "question": "Probability of getting 3 on dice roll? 🎯", "options": {"A": "1/6", "B": "1/3", "C": "1/2", "D": "1/4"}, "correct_answer": "A"},
    {"id": 6, "difficulty": "easy", "question": "Red cards in deck? ❤️♦️", "options": {"A": "26", "B": "24", "C": "28", "D": "20"}, "correct_answer": "A"},
    {"id": 7, "difficulty": "easy", "question": "Black cards in deck? ♠️♣️", "options": {"A": "26", "B": "24", "C": "28", "D": "20"}, "correct_answer": "A"},
    {"id": 8, "difficulty": "easy", "question": "Probability of sure event? ✅", "options": {"A": "1", "B": "0", "C": "1/2", "D": "2"}, "correct_answer": "A"},
    {"id": 9, "difficulty": "easy", "question": "Probability of impossible event? ❌", "options": {"A": "0", "B": "1", "C": "1/2", "D": "∞"}, "correct_answer": "A"},
    {"id": 10, "difficulty": "easy", "question": "Aces in deck? 🅰️", "options": {"A": "4", "B": "2", "C": "6", "D": "8"}, "correct_answer": "A"},
    {"id": 11, "difficulty": "easy", "question": "Probability formula? 📊", "options": {"A": "Favorable/Total", "B": "Total/Favorable", "C": "1 - Favorable", "D": "Favorable × Total"}, "correct_answer": "A"},
    {"id": 12, "difficulty": "easy", "question": "Sum of probabilities of all outcomes? ➕", "options": {"A": "1", "B": "0", "C": "2", "D": "0.5"}, "correct_answer": "A"},
    {"id": 13, "difficulty": "easy", "question": "Dice rolled, P(even number)? 2️⃣4️⃣6️⃣", "options": {"A": "1/2", "B": "1/3", "C": "2/3", "D": "1/6"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "Card drawn from deck, P(heart)? ❤️", "options": {"A": "1/4", "B": "1/13", "C": "1/2", "D": "1/52"}, "correct_answer": "A"},
    {"id": 15, "difficulty": "easy", "question": "Two coins tossed, P(2 heads)? 🪙🪙", "options": {"A": "1/4", "B": "1/2", "C": "3/4", "D": "1"}, "correct_answer": "A"},
    {"id": 16, "difficulty": "easy", "question": "Dice rolled, P(number > 6)? 📈", "options": {"A": "0", "B": "1", "C": "1/6", "D": "5/6"}, "correct_answer": "A"},
    {"id": 17, "difficulty": "easy", "question": "Card drawn, P(ace or king)? 👑", "options": {"A": "2/13", "B": "1/13", "C": "1/4", "D": "4/13"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "Probability range? 📏", "options": {"A": "0 to 1", "B": "-1 to 1", "C": "0 to 10", "D": "0 to 100"}, "correct_answer": "A"},
    {"id": 19, "difficulty": "easy", "question": "Dice rolled, P(prime number)? 🔢", "options": {"A": "1/2", "B": "1/3", "C": "2/3", "D": "1/6"}, "correct_answer": "A"},
    {"id": 20, "difficulty": "easy", "question": "P(not event) = ? 🔄", "options": {"A": "1 - P(event)", "B": "P(event) - 1", "C": "1/P(event)", "D": "P(event)"}, "correct_answer": "A"},
    {"id": 21, "difficulty": "medium", "question": "Two dice rolled. P(sum = 7)? 🎲🎲", "options": {"A": "1/6", "B": "1/12", "C": "1/36", "D": "1/18"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "Card drawn, P(black queen)? ♠️♣️", "options": {"A": "1/26", "B": "1/13", "C": "1/52", "D": "2/13"}, "correct_answer": "A"},
    {"id": 23, "difficulty": "medium", "question": "Two dice rolled. P(doublet)? 👯", "options": {"A": "1/6", "B": "1/12", "C": "1/36", "D": "1/18"}, "correct_answer": "A"},
    {"id": 24, "difficulty": "medium", "question": "Three coins tossed. P(at least 1 head)? 🪙🪙🪙", "options": {"A": "7/8", "B": "1/8", "C": "3/8", "D": "1/2"}, "correct_answer": "A"},
    {"id": 25, "difficulty": "medium", "question": "Card drawn, P(neither ace nor king)? 🚫👑", "options": {"A": "11/13", "B": "2/13", "C": "1/13", "D": "12/13"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "Dice rolled. P(number divisible by 3)? 3️⃣6️⃣", "options": {"A": "1/3", "B": "1/6", "C": "1/2", "D": "2/3"}, "correct_answer": "A"},
    {"id": 27, "difficulty": "medium", "question": "Two cards drawn from deck. P(both aces)? 🃏🃏", "options": {"A": "(4/52)×(3/51)=1/221", "B": "4/52=1/13", "C": "16/2704=1/169", "D": "1/26"}, "correct_answer": "A"},
    {"id": 28, "difficulty": "medium", "question": "Dice rolled. P(odd or prime)? 🔢", "options": {"A": "2/3", "B": "1/2", "C": "5/6", "D": "1/3"}, "correct_answer": "A"},
    {"id": 29, "difficulty": "medium", "question": "Card drawn, P(red face card)? ❤️♦️👑", "options": {"A": "3/26", "B": "3/13", "C": "6/52=3/26", "D": "1/4"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "Two dice rolled. P(sum > 10)? 📈", "options": {"A": "1/12", "B": "1/18", "C": "1/36", "D": "1/6"}, "correct_answer": "A"},
    {"id": 31, "difficulty": "medium", "question": "Bag: 3 red, 5 blue balls. P(red)? 🔴🔵", "options": {"A": "3/8", "B": "5/8", "C": "3/5", "D": "1/2"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "Coin tossed 3 times. P(exactly 2 heads)? 🪙", "options": {"A": "3/8", "B": "1/8", "C": "1/2", "D": "5/8"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "Card drawn, P(spade or ace)? ♠️🅰️", "options": {"A": "4/13", "B": "1/13", "C": "1/4", "D": "17/52"}, "correct_answer": "A"},
    {"id": 34, "difficulty": "medium", "question": "Dice rolled. P(composite number)? 4️⃣6️⃣", "options": {"A": "1/3", "B": "1/6", "C": "1/2", "D": "2/3"}, "correct_answer": "A"},
    {"id": 35, "difficulty": "medium", "question": "Two cards drawn without replacement. P(1 heart, 1 diamond)? ❤️♦️", "options": {"A": "(13/52)×(13/51)×2=13/102", "B": "1/16", "C": "169/2704", "D": "1/4"}, "correct_answer": "A"},
    {"id": 36, "difficulty": "medium", "question": "Dice rolled. P(number ≤ 4)? 📉", "options": {"A": "2/3", "B": "1/2", "C": "1/3", "D": "5/6"}, "correct_answer": "A"},
    {"id": 37, "difficulty": "medium", "question": "Card drawn, P(not a face card)? 🚫👑", "options": {"A": "10/13", "B": "3/13", "C": "1/4", "D": "9/13"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "Two dice rolled. P(sum = 9)? 🔢", "options": {"A": "1/9", "B": "1/12", "C": "1/18", "D": "1/36"}, "correct_answer": "A"},
    {"id": 39, "difficulty": "medium", "question": "Bag: 4 white, 6 black balls. P(white)? ⚪⚫", "options": {"A": "2/5", "B": "3/5", "C": "2/3", "D": "1/2"}, "correct_answer": "A"},
    {"id": 40, "difficulty": "medium", "question": "Card drawn, P(heart face card)? ❤️👑", "options": {"A": "3/52", "B": "1/13", "C": "1/26", "D": "3/26"}, "correct_answer": "A"},
    {"id": 41, "difficulty": "hard", "question": "Three dice rolled. P(sum = 15)? 🎲🎲🎲", "options": {"A": "10/216 = 5/108", "B": "1/36", "C": "1/72", "D": "5/36"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "hard", "question": "5 cards drawn from deck. P(all hearts)? ❤️❤️❤️❤️❤️", "options": {"A": "(13/52)×(12/51)×(11/50)×(10/49)×(9/48)=33/66640", "B": "1/2598960", "C": "(13C5)/(52C5)", "D": "1287/2598960≈0.000495"}, "correct_answer": "A"},
    {"id": 43, "difficulty": "hard", "question": "Two dice rolled. P(sum prime or sum even)? 🔢", "options": {"A": "29/36", "B": "1/2", "C": "2/3", "D": "5/6"}, "correct_answer": "A"},
    {"id": 44, "difficulty": "hard", "question": "Bag: 5 red, 7 blue, 8 green balls. P(not blue)? 🔴🔵🟢", "options": {"A": "13/20", "B": "7/20", "C": "1/2", "D": "13/27"}, "correct_answer": "A"},
    {"id": 45, "difficulty": "hard", "question": "Three coins tossed. P(at most 1 tail)? 🪙", "options": {"A": "1/2", "B": "3/8", "C": "5/8", "D": "7/8"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "hard", "question": "Card drawn, P(ace of spades or king of hearts)? ♠️🅰️❤️👑", "options": {"A": "1/26", "B": "1/52", "C": "2/52=1/26", "D": "1/13"}, "correct_answer": "A"},
    {"id": 47, "difficulty": "hard", "question": "Two dice rolled. P(product = 12)? ✖️", "options": {"A": "4/36=1/9", "B": "1/12", "C": "1/18", "D": "1/6"}, "correct_answer": "A"},
    {"id": 48, "difficulty": "hard", "question": "Bag: 3 red, x blue balls. P(red)=1/5. Find x. 🔴🔵", "options": {"A": "12", "B": "9", "C": "15", "D": "6"}, "correct_answer": "A"},
    {"id": 49, "difficulty": "hard", "question": "Three cards drawn. P(all kings)? 👑👑👑", "options": {"A": "(4/52)×(3/51)×(2/50)=1/5525", "B": "1/221", "C": "1/169", "D": "1/140608"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "hard", "question": "Two dice rolled. P(sum divisible by 3 or 4)? 3️⃣4️⃣", "options": {"A": "20/36=5/9", "B": "1/2", "C": "2/3", "D": "7/12"}, "correct_answer": "A"},
    {"id": 51, "difficulty": "hard", "question": "Deck: remove all clubs. P(face card from remaining)? ♣️🚫", "options": {"A": "12/39=4/13", "B": "3/13", "C": "1/4", "D": "9/39=3/13"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "hard", "question": "Three dice rolled. P(at least one 6)? 🎯", "options": {"A": "1-(5/6)³=91/216", "B": "1/6", "C": "1/2", "D": "11/36"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "hard", "question": "Cards: draw 2. P(one ace, one king)? 🅰️👑", "options": {"A": "(4/52)×(4/51)×2=8/663", "B": "16/2704=1/169", "C": "1/26", "D": "1/221"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "hard", "question": "Dice rolled twice. P(first > second)? 🔼", "options": {"A": "15/36=5/12", "B": "1/2", "C": "1/3", "D": "11/36"}, "correct_answer": "A"},
    {"id": 55, "difficulty": "hard", "question": "Bag: 4 white, 5 black. Draw 2, P(different colors)? ⚪⚫", "options": {"A": "(4/9)×(5/8)+(5/9)×(4/8)=40/72=5/9", "B": "20/36=5/9", "C": "1/2", "D": "4/9"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "hard", "question": "Card drawn, P(heart | face card)? ❤️|👑", "options": {"A": "3/12=1/4", "B": "3/52", "C": "1/4", "D": "12/52=3/13"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "hard", "question": "Two dice rolled. P(sum = 8 | first die = 3)? 🎲", "options": {"A": "1/6", "B": "1/36", "C": "5/36", "D": "0"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "hard", "question": "Deck: remove red kings. P(king from remaining)? 👑🚫", "options": {"A": "2/50=1/25", "B": "4/52=1/13", "C": "2/52=1/26", "D": "1/25"}, "correct_answer": "A"},
    {"id": 59, "difficulty": "hard", "question": "Three coins tossed. P(2 heads | at least 1 head)? 🪙", "options": {"A": "3/7", "B": "3/8", "C": "1/2", "D": "4/7"}, "correct_answer": "A"},
    {"id": 60, "difficulty": "hard", "question": "Bag: 3 red, 4 blue. Draw 2 without replacement. P(second red | first blue)? 🔴🔵", "options": {"A": "3/6=1/2", "B": "3/7", "C": "4/7", "D": "2/7"}, "correct_answer": "A"}
  ]
}