{
  "title": "Experimental Probability - Grade 10 ICSE",
  "total_questions": 60,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "A die 🎲 is rolled 30 times. Number 3 appears 5 times. What's the experimental probability of getting 3? 😊", "options": {"A": "1/5", "B": "1/6", "C": "5/30", "D": "1/3"}, "correct_answer": "C"},
    {"id": 2, "difficulty": "easy", "question": "A coin 🪙 is tossed 20 times. Heads appears 9 times. What's the experimental probability of getting tails? 🤔", "options": {"A": "9/20", "B": "11/20", "C": "1/2", "D": "10/20"}, "correct_answer": "B"},
    {"id": 3, "difficulty": "easy", "question": "In a class survey 📊, 12 out of 30 students like pizza 🍕. What's the experimental probability a student likes pizza?", "options": {"A": "0.3", "B": "0.4", "C": "0.5", "D": "0.6"}, "correct_answer": "B"},
    {"id": 4, "difficulty": "easy", "question": "A spinner ⭕ is spun 50 times. It lands on red 🔴 15 times. What's P(red)?", "options": {"A": "0.2", "B": "0.3", "C": "0.4", "D": "0.25"}, "correct_answer": "B"},
    {"id": 5, "difficulty": "easy", "question": "A bag has marbles. Drawing 40 times: 10 blue 🔵 marbles drawn. What's the experimental probability of drawing blue?", "options": {"A": "1/8", "B": "1/2", "C": "1/4", "D": "3/4"}, "correct_answer": "C"},
    {"id": 6, "difficulty": "easy", "question": "From a deck of cards 🃏, a card is drawn 26 times. A heart ❤️ is drawn 8 times. What's P(heart)?", "options": {"A": "8/26", "B": "4/13", "C": "1/4", "D": "8/52"}, "correct_answer": "A"},
    {"id": 7, "difficulty": "easy", "question": "In a game 🎮, a player wins 6 times out of 15 rounds. What's the experimental probability of winning? 🏆", "options": {"A": "0.6", "B": "0.5", "C": "0.4", "D": "0.3"}, "correct_answer": "C"},
    {"id": 8, "difficulty": "easy", "question": "A die 🎲 is rolled 60 times. An even number appears 32 times. What's P(even) based on experiment?", "options": {"A": "8/15", "B": "1/2", "C": "4/15", "D": "16/30"}, "correct_answer": "A"},
    {"id": 9, "difficulty": "easy", "question": "A biased coin 🪙 shows heads 14 times in 25 tosses. What's the experimental probability of tails? ✨", "options": {"A": "11/25", "B": "14/25", "C": "12/25", "D": "13/25"}, "correct_answer": "A"},
    {"id": 10, "difficulty": "easy", "question": "In a traffic survey 🚗, 18 out of 50 cars were red. What's P(red car)?", "options": {"A": "0.32", "B": "0.36", "C": "0.28", "D": "0.24"}, "correct_answer": "B"},
    {"id": 11, "difficulty": "easy", "question": "A basketball player 🏀 scores 7 free throws out of 10 attempts. What's her experimental scoring probability?", "options": {"A": "0.5", "B": "0.6", "C": "0.7", "D": "0.8"}, "correct_answer": "C"},
    {"id": 12, "difficulty": "easy", "question": "A bag of sweets 🍬 has different colors. Drawing 24 sweets: 6 are yellow 💛. What's P(yellow)?", "options": {"A": "1/8", "B": "1/4", "C": "1/6", "D": "1/3"}, "correct_answer": "B"},
    {"id": 13, "difficulty": "easy", "question": "A spinner ⭕ has 4 colors. In 40 spins, green 🟢 appears 12 times. What's P(green)?", "options": {"A": "0.2", "B": "0.3", "C": "0.25", "D": "0.4"}, "correct_answer": "B"},
    {"id": 14, "difficulty": "easy", "question": "A survey 📝 finds 9 out of 20 students walk to school 🚶. What's the experimental probability a student walks?", "options": {"A": "0.35", "B": "0.45", "C": "0.55", "D": "0.65"}, "correct_answer": "B"},
    {"id": 15, "difficulty": "easy", "question": "A die 🎲 is rolled 100 times. Number 5 appears 18 times. What's P(5) from the experiment? 😄", "options": {"A": "9/50", "B": "1/5", "C": "17/100", "D": "4/25"}, "correct_answer": "A"},
    {"id": 16, "difficulty": "easy", "question": "A weather record ☀️ shows it rained 🌧️ 8 days in April (30 days). What's the experimental probability of rain?", "options": {"A": "4/15", "B": "8/30", "C": "2/15", "D": "11/30"}, "correct_answer": "B"},
    {"id": 17, "difficulty": "easy", "question": "A coin 🪙 tossed 36 times shows tails 19 times. What's the experimental P(heads)? 🤨", "options": {"A": "19/36", "B": "1/2", "C": "17/36", "D": "18/36"}, "correct_answer": "C"},
    {"id": 18, "difficulty": "easy", "question": "In a music playlist 🎵, 5 out of 25 songs are pop 🎤. What's P(pop song) from this sample?", "options": {"A": "0.15", "B": "0.2", "C": "0.25", "D": "0.3"}, "correct_answer": "B"},
    {"id": 19, "difficulty": "easy", "question": "A bag of marbles: 8 red 🔴 marbles drawn in 32 trials. What's the experimental P(red)?", "options": {"A": "1/8", "B": "1/3", "C": "1/4", "D": "3/8"}, "correct_answer": "C"},
    {"id": 20, "difficulty": "easy", "question": "A student guesses answers on a quiz ❓. She gets 4 right out of 12 questions. What's her experimental P(correct)?", "options": {"A": "1/4", "B": "1/3", "C": "1/2", "D": "2/3"}, "correct_answer": "B"},
    {"id": 21, "difficulty": "medium", "question": "A die 🎲 is rolled 120 times. The frequency of outcomes: 1(18), 2(22), 3(20), 4(19), 5(21), 6(20). What's the experimental P(prime number)? 🔢", "options": {"A": "41/120", "B": "61/120", "C": "21/40", "D": "31/60"}, "correct_answer": "B"},
    {"id": 22, "difficulty": "medium", "question": "Two coins 🪙🪙 are tossed simultaneously 50 times. Two tails appear 13 times. What's the experimental probability of getting at least one head? 💡", "options": {"A": "13/50", "B": "37/50", "C": "18/25", "D": "12/25"}, "correct_answer": "B"},
    {"id": 23, "difficulty": "medium", "question": "A bag has red, blue, green marbles. In 60 draws: Red 🔴=15, Blue 🔵=25, Green 🟢=20. What's the experimental probability of NOT drawing blue? 🤔", "options": {"A": "7/12", "B": "5/12", "C": "1/3", "D": "2/3"}, "correct_answer": "A"},
    {"id": 24, "difficulty": "medium", "question": "A spinner ⭕ numbered 1-8 is spun 80 times. Number 7 appears 9 times. How does experimental P(7) compare to theoretical? 📈", "options": {"A": "Experimental is higher", "B": "Experimental is lower", "C": "Both are equal", "D": "Cannot compare"}, "correct_answer": "B"},
    {"id": 25, "difficulty": "medium", "question": "A card 🃏 is drawn from a deck and replaced 52 times. A king 👑 appears 6 times. What's the experimental P(king)? How many kings expected in 260 draws? 🧐", "options": {"A": "3/26, 30", "B": "1/13, 20", "C": "6/52, 30", "D": "3/26, 25"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "In an experiment, a biased die 🎲 shows number 4, 16 times in 48 rolls. What's the experimental probability of NOT getting 4? ✨", "options": {"A": "1/3", "B": "2/3", "C": "1/2", "D": "3/4"}, "correct_answer": "B"},
    {"id": 27, "difficulty": "medium", "question": "Three coins 🪙🪙🪙 are tossed 40 times. Results: 3 heads=5, 2 heads=15, 1 head=12, 0 heads=8. What's the experimental P(at least 2 heads)? 💭", "options": {"A": "1/2", "B": "3/8", "C": "1/4", "D": "2/5"}, "correct_answer": "A"},
    {"id": 28, "difficulty": "medium", "question": "A bag has 5 types of sweets 🍭. In 100 picks: Type A=25, B=20, C=15, D=18, E=22. What's the experimental probability of picking type A or B? 🎯", "options": {"A": "9/20", "B": "11/20", "C": "13/20", "D": "7/20"}, "correct_answer": "A"},
    {"id": 29, "difficulty": "medium", "question": "A student records car colors 🚗: White=14, Black=9, Red=7, Blue=10. Total=40. If she observes 200 cars, how many BLACK cars expected based on experiment? 📊", "options": {"A": "40", "B": "45", "C": "50", "D": "55"}, "correct_answer": "B"},
    {"id": 30, "difficulty": "medium", "question": "A die 🎲 rolled 90 times gives even number 47 times. What's the experimental P(odd)? Is the die fair? ⚖️", "options": {"A": "43/90, Maybe", "B": "47/90, Yes", "C": "1/2, Yes", "D": "43/90, No"}, "correct_answer": "A"},
    {"id": 31, "difficulty": "medium", "question": "In a game, a player wins 🏆 if the sum of two dice 🎲🎲 is 7. In 30 throws, sum=7 occurs 4 times. What's the experimental probability of NOT winning? 😟", "options": {"A": "13/15", "B": "2/15", "C": "4/15", "D": "11/15"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "A bag contains unknown marbles. Drawing with replacement: 30 draws, 9 are green 🟢. What's the experimental probability? If you draw 100 times, how many green expected? 📈", "options": {"A": "3/10, 30", "B": "9/30, 27", "C": "3/10, 27", "D": "9/30, 30"}, "correct_answer": "D"},
    {"id": 33, "difficulty": "medium", "question": "A coin 🪙 tossed 80 times gives heads 45 times. What's the experimental probability? If tossed 200 times, how many tails expected? 🤨", "options": {"A": "9/16, 137.5", "B": "45/80, 110", "C": "9/16, 87.5", "D": "45/80, 100"}, "correct_answer": "C"},
    {"id": 34, "difficulty": "medium", "question": "A survey of 50 people: 18 like tea 🍵, 15 like coffee ☕, 17 like both. What's the experimental probability a person likes only tea? 🧮", "options": {"A": "1/50", "B": "1/25", "C": "3/50", "D": "17/50"}, "correct_answer": "A"},
    {"id": 35, "difficulty": "medium", "question": "A spinner ⭕ with 6 equal sections (A,B,C,D,E,F) is spun 60 times. A appears 8 times, B=12, C=9, D=11, E=10, F=10. What's the experimental P(vowel)? 🔤", "options": {"A": "1/3", "B": "3/10", "C": "7/30", "D": "4/15"}, "correct_answer": "B"},
    {"id": 36, "difficulty": "medium", "question": "A card 🃏 drawn 26 times (with replacement) shows a face card (J,Q,K) 7 times. What's the experimental P(face card)? If drawn 130 times, how many non-face cards expected? 🤔", "options": {"A": "7/26, 95", "B": "7/26, 85", "C": "19/26, 95", "D": "19/26, 85"}, "correct_answer": "C"},
    {"id": 37, "difficulty": "medium", "question": "A die 🎲 is rolled 150 times. Number less than 3 appears 45 times. What's the experimental P(number ≥ 3)? 🎯", "options": {"A": "7/10", "B": "3/10", "C": "2/5", "D": "3/5"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "A bag has red, yellow, blue marbles. Experimental probabilities: P(red)=0.3, P(yellow)=0.5 from 40 draws. How many blue marbles were drawn? 🔵", "options": {"A": "6", "B": "8", "C": "10", "D": "12"}, "correct_answer": "B"},
    {"id": 39, "difficulty": "medium", "question": "Two dice 🎲🎲 rolled 36 times. Sum of 5 appears 6 times. What's the experimental P(sum ≠ 5)? 📐", "options": {"A": "1/6", "B": "5/6", "C": "1/2", "D": "2/3"}, "correct_answer": "B"},
    {"id": 40, "difficulty": "medium", "question": "A biased coin 🪙 shows P(heads)=0.6 in an experiment of 50 tosses. How many tails were observed? ✨", "options": {"A": "20", "B": "25", "C": "30", "D": "35"}, "correct_answer": "A"},
    {"id": 41, "difficulty": "hard", "question": "An experiment finds P(A)=0.25, P(B)=0.35, P(A∩B)=0.10 from 200 trials. What's the experimental P(A∪B)? 🧮", "options": {"A": "0.5", "B": "0.6", "C": "0.7", "D": "0.8"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "hard", "question": "A die 🎲 rolled 180 times gives: P(1)=0.15, P(2)=0.2, P(3)=0.18, P(4)=0.17, P(5)=0.16, P(6)=0.14. What's the experimental probability of getting a prime or even number? 🔢", "options": {"A": "0.65", "B": "0.72", "C": "0.78", "D": "0.82"}, "correct_answer": "C"},
    {"id": 43, "difficulty": "hard", "question": "Three different spinners ⭕ are tested. Spinner X: P(red)=0.3 in 50 spins. Spinner Y: P(red)=7/25 in 100 spins. Spinner Z: 18 red in 60 spins. Which has the HIGHEST experimental P(red)? 📈", "options": {"A": "X", "B": "Y", "C": "Z", "D": "X and Z tied"}, "correct_answer": "C"},
    {"id": 44, "difficulty": "hard", "question": "A bag has 2 colors of marbles. Drawing 30 marbles gives P(red)=0.4. 10 more draws are made, 3 are red. What's the NEW experimental P(red) after 40 draws? 🔴", "options": {"A": "0.35", "B": "0.375", "C": "0.4", "D": "0.425"}, "correct_answer": "B"},
    {"id": 45, "difficulty": "hard", "question": "A coin 🪙 is tossed n times. The experimental probability of heads is 0.48. If number of tails is 26, find n. ⚖️", "options": {"A": "48", "B": "50", "C": "52", "D": "54"}, "correct_answer": "B"},
    {"id": 46, "difficulty": "hard", "question": "Two dice 🎲🎲 rolled 72 times. Sum=7 occurs 12 times, sum=11 occurs 4 times. What's the experimental probability of getting a sum of 7 OR 11? 🎯", "options": {"A": "1/6", "B": "2/9", "C": "1/4", "D": "5/18"}, "correct_answer": "B"},
    {"id": 47, "difficulty": "hard", "question": "In 120 trials, events M and N are mutually exclusive. P(M)=1/4, P(N)=2/5. What's the experimental frequency of 'neither M nor N'? 📊", "options": {"A": "42", "B": "48", "C": "54", "D": "60"}, "correct_answer": "A"},
    {"id": 48, "difficulty": "hard", "question": "A die 🎲 is rolled. The experimental probability of getting a factor of 6 is 0.65 in 80 rolls. How many times did a factor of 6 NOT appear? 🤔", "options": {"A": "26", "B": "28", "C": "30", "D": "32"}, "correct_answer": "B"},
    {"id": 49, "difficulty": "hard", "question": "A bag has red, blue, green balls. In 60 draws: P(red)=1/3, P(blue)=0.4. How many green balls were drawn? 🟢", "options": {"A": "12", "B": "14", "C": "16", "D": "18"}, "correct_answer": "C"},
    {"id": 50, "difficulty": "hard", "question": "A student records data: P(rain on Monday)=0.2, P(rain on Tuesday)=0.3, P(rain on both)=0.05 from 100 weeks. What's the experimental probability of no rain on both days? ☀️", "options": {"A": "0.45", "B": "0.55", "C": "0.65", "D": "0.75"}, "correct_answer": "B"},
    {"id": 51, "difficulty": "hard", "question": "A card 🃏 experiment: P(heart)=0.28, P(ace)=0.06, P(heart and ace)=0.02 in 50 draws. What's the experimental P(heart or ace)? ❤️👑", "options": {"A": "0.30", "B": "0.32", "C": "0.34", "D": "0.36"}, "correct_answer": "B"},
    {"id": 52, "difficulty": "hard", "question": "A spinner ⭕ numbered 1-5: Frequencies after 75 spins: 1(12), 2(18), 3(15), 4(16), 5(14). What's the experimental probability of getting a number greater than the mean? 📐", "options": {"A": "0.4", "B": "0.45", "C": "0.5", "D": "0.55"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "hard", "question": "Two coins 🪙🪙 tossed 48 times: P(2 heads)=1/4, P(1 head)=1/2. What's the experimental frequency of getting no heads? ✨", "options": {"A": "8", "B": "10", "C": "12", "D": "14"}, "correct_answer": "C"},
    {"id": 54, "difficulty": "hard", "question": "A bag with marbles: P(red)=3/8, P(blue)=1/2 in 40 draws. The marbles are only red/blue. How many red marbles drawn? 🔴", "options": {"A": "12", "B": "15", "C": "18", "D": "20"}, "correct_answer": "B"},
    {"id": 55, "difficulty": "hard", "question": "A die 🎲 experiment over 90 rolls: P(even)=0.5, P(>4)=1/3. What's the experimental frequency of getting an even number >4? 🔢", "options": {"A": "15", "B": "18", "C": "20", "D": "24"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "hard", "question": "A survey of 80 students: P(math)=0.6, P(science)=0.5, P(both)=0.3. What's the experimental probability of liking only one subject? 📚", "options": {"A": "0.4", "B": "0.5", "C": "0.6", "D": "0.7"}, "correct_answer": "B"},
    {"id": 57, "difficulty": "hard", "question": "An experiment gives P(X)=0.45, P(Y)=0.35. If X and Y are independent, what's the expected experimental P(X∩Y) in 200 trials? 📊", "options": {"A": "0.1575", "B": "0.16", "C": "0.1625", "D": "0.1675"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "hard", "question": "A bag has 3 colors. In 75 draws: P(white)=0.32, P(black)=0.4. How many gray draws if P(white or black)=0.8? ⚫⚪", "options": {"A": "10", "B": "12", "C": "15", "D": "18"}, "correct_answer": "C"},
    {"id": 59, "difficulty": "hard", "question": "A biased die 🎲 shows P(1)=P(2)=P(3)=x, P(4)=P(5)=P(6)=y. In 60 rolls, even numbers appear 28 times. Find the experimental probability of getting an odd number. 🧮", "options": {"A": "8/15", "B": "7/15", "C": "2/5", "D": "3/5"}, "correct_answer": "A"},
    {"id": 60, "difficulty": "hard", "question": "Two events A and B: P(A)=0.5, P(B)=0.6, P(A∪B)=0.8 from 120 trials. What's the experimental frequency of A∩B? 🔍", "options": {"A": "30", "B": "36", "C": "42", "D": "48"}, "correct_answer": "B"}
  ]
}