{
  "title": "Simple Problems (Probability) - Grade 10 ICSE",
  "total_questions": 60,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "A die 🎲 is rolled. What's the probability of getting a number less than 5? 😊", "options": {"A": "1/6", "B": "2/3", "C": "1/2", "D": "5/6"}, "correct_answer": "B"},
    {"id": 2, "difficulty": "easy", "question": "A coin 🪙 is tossed once. What's P(tails)?", "options": {"A": "0", "B": "0.25", "C": "0.5", "D": "1"}, "correct_answer": "C"},
    {"id": 3, "difficulty": "easy", "question": "A bag has 3 red 🔴 and 2 blue 🔵 marbles. One marble is drawn. What's P(red)?", "options": {"A": "2/5", "B": "3/5", "C": "1/5", "D": "4/5"}, "correct_answer": "B"},
    {"id": 4, "difficulty": "easy", "question": "What's the probability of getting an even number when rolling a fair die? 🎲", "options": {"A": "1/3", "B": "1/2", "C": "2/3", "D": "5/6"}, "correct_answer": "B"},
    {"id": 5, "difficulty": "easy", "question": "A jar has 4 chocolates 🍫 and 6 candies 🍬. One item is picked. What's P(chocolate)?", "options": {"A": "0.2", "B": "0.4", "C": "0.6", "D": "0.8"}, "correct_answer": "B"},
    {"id": 6, "difficulty": "easy", "question": "A day is chosen from a week 📅. What's P(weekend day)?", "options": {"A": "1/7", "B": "2/7", "C": "3/7", "D": "4/7"}, "correct_answer": "B"},
    {"id": 7, "difficulty": "easy", "question": "A card 🃏 is drawn from a standard deck. What's P(heart)? ❤️", "options": {"A": "1/52", "B": "1/13", "C": "1/4", "D": "1/2"}, "correct_answer": "C"},
    {"id": 8, "difficulty": "easy", "question": "A spinner ⭕ has equal sections: Red, Blue, Green. What's P(Blue)? 🔵", "options": {"A": "1/4", "B": "1/3", "C": "1/2", "D": "2/3"}, "correct_answer": "B"},
    {"id": 9, "difficulty": "easy", "question": "A box 📦 contains 5 good and 3 defective bulbs 💡. One bulb picked. What's P(good)?", "options": {"A": "3/8", "B": "5/8", "C": "1/2", "D": "3/5"}, "correct_answer": "B"},
    {"id": 10, "difficulty": "easy", "question": "A number is chosen from 1 to 10. What's P(prime number)? 🔢", "options": {"A": "2/5", "B": "3/5", "C": "1/2", "D": "7/10"}, "correct_answer": "A"},
    {"id": 11, "difficulty": "easy", "question": "A bag contains 8 white ⚪ and 2 black ⚫ balls. One ball drawn. What's P(white)?", "options": {"A": "1/5", "B": "4/5", "C": "3/5", "D": "2/5"}, "correct_answer": "B"},
    {"id": 12, "difficulty": "easy", "question": "A month is selected randomly. What's P(month with 31 days)? 📅", "options": {"A": "1/12", "B": "7/12", "C": "5/12", "D": "1/2"}, "correct_answer": "B"},
    {"id": 13, "difficulty": "easy", "question": "A letter is chosen from 'MATHEMATICS'. What's P(letter M)? 🔤", "options": {"A": "1/11", "B": "2/11", "C": "1/5", "D": "2/5"}, "correct_answer": "B"},
    {"id": 14, "difficulty": "easy", "question": "Two coins 🪙🪙 are tossed. What's P(at least one head)?", "options": {"A": "1/4", "B": "1/2", "C": "3/4", "D": "1"}, "correct_answer": "C"},
    {"id": 15, "difficulty": "easy", "question": "A die 🎲 rolled. What's P(number greater than 2)?", "options": {"A": "1/3", "B": "1/2", "C": "2/3", "D": "5/6"}, "correct_answer": "C"},
    {"id": 16, "difficulty": "easy", "question": "A card 🃏 drawn from deck. What's P(face card: J, Q, K)? 👑", "options": {"A": "1/13", "B": "3/13", "C": "4/13", "D": "1/4"}, "correct_answer": "B"},
    {"id": 17, "difficulty": "easy", "question": "A bag has 4 red, 3 green 🟢, 5 yellow 💛 balls. One ball drawn. What's P(not red)?", "options": {"A": "1/3", "B": "2/3", "C": "1/2", "D": "3/4"}, "correct_answer": "B"},
    {"id": 18, "difficulty": "easy", "question": "A number chosen from 1-20. What's P(multiple of 3)? ✨", "options": {"A": "3/10", "B": "1/3", "C": "7/20", "D": "2/5"}, "correct_answer": "A"},
    {"id": 19, "difficulty": "easy", "question": "A student guesses true/false on a question. What's P(correct)? ✔️", "options": {"A": "0.25", "B": "0.5", "C": "0.75", "D": "1"}, "correct_answer": "B"},
    {"id": 20, "difficulty": "easy", "question": "A baby 👶 is born. What's P(it's a girl)? 👧", "options": {"A": "0", "B": "0.25", "C": "0.5", "D": "1"}, "correct_answer": "C"},
    {"id": 21, "difficulty": "medium", "question": "Two dice 🎲🎲 rolled. What's P(sum = 8)? 🧮", "options": {"A": "1/12", "B": "5/36", "C": "1/6", "D": "7/36"}, "correct_answer": "B"},
    {"id": 22, "difficulty": "medium", "question": "A card 🃏 drawn from deck. What's P(red king)? ♥️♦️👑", "options": {"A": "1/52", "B": "1/26", "C": "1/13", "D": "2/13"}, "correct_answer": "B"},
    {"id": 23, "difficulty": "medium", "question": "A bag: 5 red, 4 blue, 6 green marbles. Two marbles drawn without replacement. What's P(both red)? 🔴🔴", "options": {"A": "2/21", "B": "4/45", "C": "1/9", "D": "5/42"}, "correct_answer": "A"},
    {"id": 24, "difficulty": "medium", "question": "A coin 🪙 tossed 3 times. What's P(exactly 2 heads)? 💡💡", "options": {"A": "1/8", "B": "3/8", "C": "1/2", "D": "5/8"}, "correct_answer": "B"},
    {"id": 25, "difficulty": "medium", "question": "From numbers 1-30, one chosen. What's P(divisible by 2 or 5)? 🔢", "options": {"A": "2/5", "B": "3/5", "C": "7/15", "D": "8/15"}, "correct_answer": "B"},
    {"id": 26, "difficulty": "medium", "question": "A committee of 2 formed from 3 boys 👦 and 2 girls 👧. What's P(committee has at least 1 girl)?", "options": {"A": "3/10", "B": "7/10", "C": "2/5", "D": "3/5"}, "correct_answer": "B"},
    {"id": 27, "difficulty": "medium", "question": "A letter from 'PROBABILITY' chosen. What's P(vowel)? 🔤", "options": {"A": "1/11", "B": "4/11", "C": "5/11", "D": "6/11"}, "correct_answer": "C"},
    {"id": 28, "difficulty": "medium", "question": "Two dice 🎲🎲 rolled. What's P(doublet: same number)?", "options": {"A": "1/12", "B": "1/6", "C": "5/36", "D": "1/9"}, "correct_answer": "B"},
    {"id": 29, "difficulty": "medium", "question": "A bag with 10 balls numbered 1-10. One ball drawn. What's P(number is prime or even)? ✨", "options": {"A": "0.7", "B": "0.8", "C": "0.9", "D": "1"}, "correct_answer": "B"},
    {"id": 30, "difficulty": "medium", "question": "A card 🃏 drawn from deck. What's P(heart or queen)? ❤️👑", "options": {"A": "1/13", "B": "4/13", "C": "1/4", "D": "17/52"}, "correct_answer": "B"},
    {"id": 31, "difficulty": "medium", "question": "Three coins 🪙🪙🪙 tossed. What's P(at most one tail)?", "options": {"A": "1/2", "B": "3/8", "C": "1/4", "D": "1/8"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "A number from 1-100 chosen. What's P(perfect square)? 🔲", "options": {"A": "1/10", "B": "3/25", "C": "7/50", "D": "2/25"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "A bag: 6 black ⚫, 4 white ⚪ balls. Two balls drawn. What's P(balls of different colors)?", "options": {"A": "8/15", "B": "4/15", "C": "2/5", "D": "1/3"}, "correct_answer": "A"},
    {"id": 34, "difficulty": "medium", "question": "A die 🎲 rolled twice. What's P(first roll > second roll)? 📊", "options": {"A": "5/12", "B": "1/2", "C": "7/12", "D": "5/18"}, "correct_answer": "A"},
    {"id": 35, "difficulty": "medium", "question": "From word 'CALCULATOR', a letter chosen. What's P(consonant)? 🔠", "options": {"A": "3/10", "B": "7/10", "C": "2/5", "D": "3/5"}, "correct_answer": "D"},
    {"id": 36, "difficulty": "medium", "question": "Two cards 🃏🃏 drawn from deck without replacement. What's P(both are aces)? 👑👑", "options": {"A": "1/221", "B": "2/221", "C": "3/221", "D": "4/221"}, "correct_answer": "A"},
    {"id": 37, "difficulty": "medium", "question": "A bag has 5 coins: 2 fair (H/T), 3 two-headed (H only). A coin chosen & tossed. What's P(heads)? 💡", "options": {"A": "2/5", "B": "3/5", "C": "4/5", "D": "1"}, "correct_answer": "C"},
    {"id": 38, "difficulty": "medium", "question": "A die 🎲 rolled. Events: A={even}, B={>3}. What's P(A∪B)? 📈", "options": {"A": "1/2", "B": "2/3", "C": "5/6", "D": "1/3"}, "correct_answer": "B"},
    {"id": 39, "difficulty": "medium", "question": "Numbers 1-15 written on cards. One card drawn. What's P(number divisible by 2 and 3)? 🔢", "options": {"A": "2/15", "B": "1/5", "C": "4/15", "D": "1/3"}, "correct_answer": "A"},
    {"id": 40, "difficulty": "medium", "question": "A family has 2 children 👦👧. What's P(both are girls)?", "options": {"A": "1/2", "B": "1/3", "C": "1/4", "D": "3/4"}, "correct_answer": "C"},
    {"id": 41, "difficulty": "hard", "question": "Three dice 🎲🎲🎲 rolled. What's P(sum = 15)? 🧮", "options": {"A": "5/108", "B": "7/108", "C": "1/18", "D": "11/108"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "hard", "question": "A bag: 4 red, 5 blue, 6 green marbles. Three marbles drawn without replacement. What's P(all different colors)? 🌈", "options": {"A": "24/91", "B": "8/91", "C": "16/91", "D": "32/91"}, "correct_answer": "A"},
    {"id": 43, "difficulty": "hard", "question": "A card 🃏 drawn from deck. What's P(neither a spade ♠️ nor a king 👑)?", "options": {"A": "4/13", "B": "9/13", "C": "35/52", "D": "19/26"}, "correct_answer": "B"},
    {"id": 44, "difficulty": "hard", "question": "Two dice 🎲🎲 rolled. What's P(sum is prime or >8)? 🔢", "options": {"A": "5/12", "B": "1/2", "C": "7/12", "D": "2/3"}, "correct_answer": "C"},
    {"id": 45, "difficulty": "hard", "question": "A speaks truth 3/4 times, B speaks truth 4/5 times. They agree on a statement. What's probability the statement is true? 🤝", "options": {"A": "12/13", "B": "11/13", "C": "10/13", "D": "9/13"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "hard", "question": "A bag has 10 balls: some white ⚪, some black ⚫. Two balls drawn: P(both white)=2/15. How many white balls? 🤔", "options": {"A": "2", "B": "3", "C": "4", "D": "5"}, "correct_answer": "C"},
    {"id": 47, "difficulty": "hard", "question": "Three letters of 'MISSISSIPPI' chosen. What's P(all are I)? 🔤", "options": {"A": "1/165", "B": "4/165", "C": "1/55", "D": "2/55"}, "correct_answer": "B"},
    {"id": 48, "difficulty": "hard", "question": "A die 🎲 rolled 3 times. What's P(product of numbers is even)? ✨", "options": {"A": "1/8", "B": "3/8", "C": "7/8", "D": "5/8"}, "correct_answer": "C"},
    {"id": 49, "difficulty": "hard", "question": "From numbers 1-50, one chosen. What's P(it's a multiple of 4 or 6)? 🔢", "options": {"A": "8/25", "B": "9/25", "C": "2/5", "D": "11/25"}, "correct_answer": "D"},
    {"id": 50, "difficulty": "hard", "question": "A bag: 3 red, 4 blue, x green marbles. P(red)=1/6. Find x. 🟢", "options": {"A": "8", "B": "9", "C": "10", "D": "11"}, "correct_answer": "D"},
    {"id": 51, "difficulty": "hard", "question": "Two cards 🃏🃏 drawn from deck. What's P(they are of same suit or both face cards)? 👑", "options": {"A": "85/221", "B": "95/221", "C": "105/221", "D": "115/221"}, "correct_answer": "B"},
    {"id": 52, "difficulty": "hard", "question": "A die 🎲 rolled until a 6 appears. What's P(it takes exactly 3 rolls)? 🎯", "options": {"A": "25/216", "B": "5/36", "C": "25/1296", "D": "125/1296"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "hard", "question": "A box 📦 has 10 items: 3 defective. Two items drawn without replacement. What's P(at least one good)? ✅", "options": {"A": "7/15", "B": "8/15", "C": "14/15", "D": "13/15"}, "correct_answer": "C"},
    {"id": 54, "difficulty": "hard", "question": "Three numbers chosen from 1-20. What's P(their sum is even)? 🔢", "options": {"A": "1/2", "B": "11/20", "C": "3/5", "D": "13/20"}, "correct_answer": "A"},
    {"id": 55, "difficulty": "hard", "question": "A fair coin 🪙 tossed 10 times. What's P(number of heads > number of tails)? 📊", "options": {"A": "1/2", "B": "193/512", "C": "11/32", "D": "63/256"}, "correct_answer": "C"},
    {"id": 56, "difficulty": "hard", "question": "A problem given to A and B. P(A solves)=1/2, P(B solves)=1/3. What's P(problem solved)? 💡", "options": {"A": "1/6", "B": "1/3", "C": "1/2", "D": "2/3"}, "correct_answer": "D"},
    {"id": 57, "difficulty": "hard", "question": "From word 'MATHEMATICS', 3 letters chosen. What's P(at least one vowel)? 🔤", "options": {"A": "5/11", "B": "17/33", "C": "19/33", "D": "23/33"}, "correct_answer": "C"},
    {"id": 58, "difficulty": "hard", "question": "A bag has 5 red, 6 blue, 7 green marbles. Four marbles drawn. What's P(exactly 2 red)? 🔴🔴", "options": {"A": "70/663", "B": "140/663", "C": "35/221", "D": "40/221"}, "correct_answer": "B"},
    {"id": 59, "difficulty": "hard", "question": "Two dice 🎲🎲 rolled. What's P(one shows prime, other shows composite)? 🔢", "options": {"A": "1/3", "B": "5/18", "C": "11/36", "D": "1/4"}, "correct_answer": "C"},
    {"id": 60, "difficulty": "hard", "question": "A number from 1-200 chosen. What's P(it's divisible by 6 or 8)? 🧮", "options": {"A": "1/4", "B": "3/10", "C": "7/20", "D": "2/5"}, "correct_answer": "C"}
  ]
}