{
  "title": "Simple Problems on Probability - Grade 9 Probability",
  "total_questions": 100,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "What is probability of getting heads when tossing a fair coin?", "options": {"A": "0.5", "B": "0.25", "C": "0.75", "D": "1"}, "correct_answer": "A"},
    {"id": 2, "difficulty": "easy", "question": "Probability of getting 3 when rolling fair die is:", "options": {"A": "1/6", "B": "1/3", "C": "1/2", "D": "1/4"}, "correct_answer": "A"},
    {"id": 3, "difficulty": "easy", "question": "If probability of event is 0, the event is:", "options": {"A": "Impossible", "B": "Certain", "C": "Equally likely", "D": "Random"}, "correct_answer": "A"},
    {"id": 4, "difficulty": "easy", "question": "Probability of sure event is:", "options": {"A": "1", "B": "0", "C": "0.5", "D": "0.75"}, "correct_answer": "A"},
    {"id": 5, "difficulty": "easy", "question": "A die is rolled. Probability of getting even number is:", "options": {"A": "1/2", "B": "1/3", "C": "2/3", "D": "1/6"}, "correct_answer": "A"},
    {"id": 6, "difficulty": "easy", "question": "From deck of 52 cards, probability of drawing a heart is:", "options": {"A": "1/4", "B": "1/13", "C": "1/52", "D": "1/2"}, "correct_answer": "A"},
    {"id": 7, "difficulty": "easy", "question": "Probability range is always between:", "options": {"A": "0 and 1 inclusive", "B": "-1 and 1", "C": "0 and 10", "D": "0 and 100"}, "correct_answer": "A"},
    {"id": 8, "difficulty": "easy", "question": "Two coins tossed. Probability of getting at least one head:", "options": {"A": "3/4", "B": "1/2", "C": "1/4", "D": "1"}, "correct_answer": "A"},
    {"id": 9, "difficulty": "easy", "question": "Bag has 3 red, 2 blue marbles. Probability of drawing red:", "options": {"A": "3/5", "B": "2/5", "C": "1/5", "D": "4/5"}, "correct_answer": "A"},
    {"id": 10, "difficulty": "easy", "question": "Probability of getting 7 on rolling die is:", "options": {"A": "0", "B": "1/6", "C": "1/7", "D": "1"}, "correct_answer": "A"},
    {"id": 11, "difficulty": "easy", "question": "Month chosen randomly. Probability it has 31 days:", "options": {"A": "7/12", "B": "5/12", "C": "1/2", "D": "4/12"}, "correct_answer": "A"},
    {"id": 12, "difficulty": "easy", "question": "Probability of getting head or tail on coin toss:", "options": {"A": "1", "B": "0.5", "C": "0", "D": "0.75"}, "correct_answer": "A"},
    {"id": 13, "difficulty": "easy", "question": "Die rolled. Probability of number less than 7:", "options": {"A": "1", "B": "0", "C": "1/6", "D": "5/6"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "Card drawn from deck. Probability it's not a spade:", "options": {"A": "3/4", "B": "1/4", "C": "1/2", "D": "1/13"}, "correct_answer": "A"},
    {"id": 15, "difficulty": "easy", "question": "Probability of getting prime number on die (2,3,5):", "options": {"A": "1/2", "B": "1/3", "C": "2/3", "D": "1/6"}, "correct_answer": "A"},
    {"id": 16, "difficulty": "easy", "question": "Two dice rolled. Probability sum is 2:", "options": {"A": "1/36", "B": "1/6", "C": "1/12", "D": "1/18"}, "correct_answer": "A"},
    {"id": 17, "difficulty": "easy", "question": "Probability of impossible event:", "options": {"A": "0", "B": "1", "C": "0.5", "D": "0.25"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "From 1-20, number chosen randomly. Probability it's multiple of 5:", "options": {"A": "1/5", "B": "1/4", "C": "1/10", "D": "1/20"}, "correct_answer": "A"},
    {"id": 19, "difficulty": "easy", "question": "Probability it will rain tomorrow is 0.3. Probability it won't rain:", "options": {"A": "0.7", "B": "0.3", "C": "0.5", "D": "0.4"}, "correct_answer": "A"},
    {"id": 20, "difficulty": "easy", "question": "Letter chosen from 'MATHS'. Probability it's vowel:", "options": {"A": "1/5", "B": "2/5", "C": "3/5", "D": "4/5"}, "correct_answer": "A"},
    
    {"id": 21, "difficulty": "medium", "question": "Two dice rolled. Probability sum is 7:", "options": {"A": "1/6", "B": "1/12", "C": "1/36", "D": "1/18"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "Bag: 5 red, 4 blue, 3 green balls. Probability of not getting red:", "options": {"A": "7/12", "B": "5/12", "C": "1/2", "D": "2/3"}, "correct_answer": "A"},
    {"id": 23, "difficulty": "medium", "question": "Three coins tossed. Probability exactly 2 heads:", "options": {"A": "3/8", "B": "1/8", "C": "1/2", "D": "1/4"}, "correct_answer": "A"},
    {"id": 24, "difficulty": "medium", "question": "Card drawn. Probability it's face card (J,Q,K):", "options": {"A": "3/13", "B": "1/13", "C": "1/4", "D": "4/13"}, "correct_answer": "A"},
    {"id": 25, "difficulty": "medium", "question": "Two dice rolled. Probability sum is prime number:", "options": {"A": "5/12", "B": "1/3", "C": "1/2", "D": "7/12"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "Probability student likes math is 0.6. Probability doesn't like:", "options": {"A": "0.4", "B": "0.6", "C": "0.5", "D": "0.3"}, "correct_answer": "A"},
    {"id": 27, "difficulty": "medium", "question": "Numbers 1-50. Probability chosen number divisible by 6:", "options": {"A": "8/50", "B": "6/50", "C": "12/50", "D": "10/50"}, "correct_answer": "A"},
    {"id": 28, "difficulty": "medium", "question": "Two cards drawn from deck without replacement. Probability both are aces:", "options": {"A": "1/221", "B": "1/169", "C": "1/26", "D": "1/13"}, "correct_answer": "A"},
    {"id": 29, "difficulty": "medium", "question": "Die rolled twice. Probability same number both times:", "options": {"A": "1/6", "B": "1/36", "C": "1/12", "D": "1/3"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "Bag: 3 white, 2 black balls. Two drawn without replacement. Probability both white:", "options": {"A": "3/10", "B": "9/25", "C": "1/2", "D": "2/5"}, "correct_answer": "A"},
    {"id": 31, "difficulty": "medium", "question": "Probability of getting at least one head in 3 coin tosses:", "options": {"A": "7/8", "B": "1/8", "C": "3/8", "D": "1/2"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "Two dice rolled. Probability sum is 8 or more:", "options": {"A": "5/12", "B": "1/3", "C": "7/12", "D": "1/2"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "Letters of 'PROBABILITY' shuffled. Probability first letter is B:", "options": {"A": "1/11", "B": "2/11", "C": "1/12", "D": "1/13"}, "correct_answer": "B"},
    {"id": 34, "difficulty": "medium", "question": "Numbers 1-100. Probability chosen is perfect square:", "options": {"A": "1/10", "B": "1/20", "C": "1/25", "D": "1/5"}, "correct_answer": "A"},
    {"id": 35, "difficulty": "medium", "question": "Bag: 4 red, 5 blue balls. Two drawn with replacement. Probability both red:", "options": {"A": "16/81", "B": "4/9", "C": "1/6", "D": "2/9"}, "correct_answer": "A"},
    {"id": 36, "difficulty": "medium", "question": "Probability today is Sunday if day chosen randomly:", "options": {"A": "1/7", "B": "1/5", "C": "1/30", "D": "1/365"}, "correct_answer": "A"},
    {"id": 37, "difficulty": "medium", "question": "Two dice rolled. Probability sum is even:", "options": {"A": "1/2", "B": "1/3", "C": "2/3", "D": "5/12"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "Card drawn. Probability it's red or king:", "options": {"A": "7/13", "B": "1/2", "C": "3/13", "D": "8/13"}, "correct_answer": "A"},
    {"id": 39, "difficulty": "medium", "question": "Numbers 1-30. Probability divisible by 3 or 5:", "options": {"A": "11/30", "B": "1/3", "C": "1/2", "D": "13/30"}, "correct_answer": "A"},
    {"id": 40, "difficulty": "medium", "question": "Three coins tossed. Probability at most one head:", "options": {"A": "1/2", "B": "3/8", "C": "5/8", "D": "1/4"}, "correct_answer": "A"},
    {"id": 41, "difficulty": "medium", "question": "Die rolled. Probability number > 2:", "options": {"A": "2/3", "B": "1/2", "C": "1/3", "D": "5/6"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "medium", "question": "Two cards drawn with replacement. Probability both are hearts:", "options": {"A": "1/16", "B": "1/17", "C": "1/52", "D": "1/26"}, "correct_answer": "A"},
    {"id": 43, "difficulty": "medium", "question": "Bag: 6 white, 4 black balls. Probability of white then black without replacement:", "options": {"A": "4/15", "B": "2/5", "C": "1/3", "D": "8/15"}, "correct_answer": "A"},
    {"id": 44, "difficulty": "medium", "question": "Two dice rolled. Probability sum divisible by 4:", "options": {"A": "1/4", "B": "1/6", "C": "1/3", "D": "5/36"}, "correct_answer": "A"},
    {"id": 45, "difficulty": "medium", "question": "Probability month has 'r' in its name:", "options": {"A": "8/12", "B": "7/12", "C": "1/2", "D": "5/12"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "medium", "question": "Numbers 1-60. Probability divisible by 2 and 3:", "options": {"A": "1/6", "B": "1/10", "C": "1/5", "D": "1/4"}, "correct_answer": "A"},
    {"id": 47, "difficulty": "medium", "question": "Three dice rolled. Probability all show same number:", "options": {"A": "1/36", "B": "1/216", "C": "1/6", "D": "1/72"}, "correct_answer": "A"},
    {"id": 48, "difficulty": "medium", "question": "Card drawn. Probability it's black queen:", "options": {"A": "1/26", "B": "1/52", "C": "1/13", "D": "2/13"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "medium", "question": "Two events each probability 0.4. Maximum probability both occur:", "options": {"A": "0.4", "B": "0.16", "C": "0.8", "D": "1"}, "correct_answer": "A"},
    {"id": 51, "difficulty": "medium", "question": "Die rolled until first 6. Probability need exactly 3 rolls:", "options": {"A": "25/216", "B": "1/6", "C": "5/36", "D": "1/36"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "medium", "question": "Numbers 1-40. Probability relatively prime to 40:", "options": {"A": "1/5", "B": "1/4", "C": "1/2", "D": "3/4"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "medium", "question": "Two dice rolled. Probability difference is 2:", "options": {"A": "2/9", "B": "1/6", "C": "1/9", "D": "1/4"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "medium", "question": "Bag: 3 red, 4 green, 5 blue. Probability not blue:", "options": {"A": "7/12", "B": "5/12", "C": "1/2", "D": "2/3"}, "correct_answer": "A"},
    {"id": 55, "difficulty": "medium", "question": "Two cards drawn. Probability one is king, other queen:", "options": {"A": "8/663", "B": "1/169", "C": "2/13", "D": "1/26"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "medium", "question": "Probability randomly chosen 2-digit number divisible by 7:", "options": {"A": "13/90", "B": "7/90", "C": "1/7", "D": "1/10"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "medium", "question": "Three coins tossed. Probability number of heads > number of tails:", "options": {"A": "1/2", "B": "3/8", "C": "1/4", "D": "5/8"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "medium", "question": "Die rolled twice. Probability second > first:", "options": {"A": "5/12", "B": "1/2", "C": "1/3", "D": "7/12"}, "correct_answer": "A"},
    {"id": 59, "difficulty": "medium", "question": "Numbers 1-25. Probability sum of digits is odd:", "options": {"A": "13/25", "B": "12/25", "C": "1/2", "D": "11/25"}, "correct_answer": "A"},
    {"id": 60, "difficulty": "medium", "question": "Two dice rolled. Probability product is 12:", "options": {"A": "1/9", "B": "1/12", "C": "1/18", "D": "1/36"}, "correct_answer": "A"},
    {"id": 61, "difficulty": "medium", "question": "Bag: 5 red, 7 blue. Two drawn. Probability different colors:", "options": {"A": "35/66", "B": "5/12", "C": "7/12", "D": "1/2"}, "correct_answer": "A"},
    {"id": 62, "difficulty": "medium", "question": "Probability random 3-digit number has all digits same:", "options": {"A": "1/100", "B": "1/125", "C": "1/150", "D": "1/200"}, "correct_answer": "A"},
    {"id": 63, "difficulty": "medium", "question": "Three dice rolled. Probability sum is 10:", "options": {"A": "1/8", "B": "1/12", "C": "1/16", "D": "1/24"}, "correct_answer": "A"},
    {"id": 64, "difficulty": "medium", "question": "Card drawn. Probability it's spade or ace:", "options": {"A": "4/13", "B": "1/4", "C": "1/13", "D": "5/13"}, "correct_answer": "A"},
    {"id": 65, "difficulty": "medium", "question": "Two numbers chosen from 1-10. Probability sum is odd:", "options": {"A": "5/9", "B": "1/2", "C": "4/9", "D": "2/3"}, "correct_answer": "A"},
    {"id": 66, "difficulty": "medium", "question": "Die rolled 3 times. Probability all different numbers:", "options": {"A": "5/9", "B": "1/2", "C": "2/3", "D": "5/12"}, "correct_answer": "A"},
    {"id": 67, "difficulty": "medium", "question": "Numbers 1-50. Probability divisible by 4 or 6:", "options": {"A": "8/25", "B": "1/3", "C": "3/10", "D": "7/20"}, "correct_answer": "A"},
    {"id": 68, "difficulty": "medium", "question": "Two cards drawn. Probability both same color:", "options": {"A": "25/51", "B": "1/2", "C": "26/51", "D": "12/25"}, "correct_answer": "A"},
    {"id": 69, "difficulty": "medium", "question": "Probability random day in leap year is in January:", "options": {"A": "31/366", "B": "1/12", "C": "31/365", "D": "1/10"}, "correct_answer": "A"},
    {"id": 70, "difficulty": "medium", "question": "Two dice rolled. Probability sum is factor of 12:", "options": {"A": "7/12", "B": "1/2", "C": "2/3", "D": "5/12"}, "correct_answer": "A"},
    {"id": 71, "difficulty": "medium", "question": "Bag: 4 white, 3 black, 2 red. Probability not white:", "options": {"A": "5/9", "B": "4/9", "C": "1/3", "D": "2/3"}, "correct_answer": "A"},
    {"id": 72, "difficulty": "medium", "question": "Three coins tossed. Probability exactly one tail:", "options": {"A": "3/8", "B": "1/8", "C": "1/2", "D": "1/4"}, "correct_answer": "A"},
    {"id": 73, "difficulty": "medium", "question": "Numbers 1-100. Probability divisible by 2 but not 3:", "options": {"A": "17/50", "B": "1/3", "C": "2/5", "D": "3/10"}, "correct_answer": "A"},
    {"id": 74, "difficulty": "medium", "question": "Two dice rolled. Probability sum is multiple of 5:", "options": {"A": "7/36", "B": "1/6", "C": "1/4", "D": "5/36"}, "correct_answer": "A"},
    {"id": 75, "difficulty": "medium", "question": "Card drawn. Probability it's number card (2-10):", "options": {"A": "9/13", "B": "1/2", "C": "3/4", "D": "10/13"}, "correct_answer": "A"},
    {"id": 76, "difficulty": "medium", "question": "Probability random 2-digit number has digits increasing:", "options": {"A": "2/15", "B": "1/10", "C": "1/12", "D": "1/15"}, "correct_answer": "A"},
    {"id": 77, "difficulty": "medium", "question": "Three dice rolled. Probability sum is 15:", "options": {"A": "5/108", "B": "1/18", "C": "1/24", "D": "1/36"}, "correct_answer": "A"},
    {"id": 78, "difficulty": "medium", "question": "Bag: 6 red, 4 blue. Two drawn. Probability at least one red:", "options": {"A": "13/15", "B": "2/3", "C": "3/5", "D": "4/5"}, "correct_answer": "A"},
    {"id": 79, "difficulty": "medium", "question": "Numbers 1-20. Probability product of digits is 0:", "options": {"A": "1/5", "B": "1/4", "C": "3/20", "D": "1/10"}, "correct_answer": "A"},
    {"id": 80, "difficulty": "medium", "question": "Two dice rolled. Probability one shows 4:", "options": {"A": "11/36", "B": "1/6", "C": "5/18", "D": "1/3"}, "correct_answer": "A"},
    
    {"id": 81, "difficulty": "hard", "question": "Three cards drawn from deck. Probability all are same suit:", "options": {"A": "22/425", "B": "11/850", "C": "1/16", "D": "1/26"}, "correct_answer": "A"},
    {"id": 82, "difficulty": "hard", "question": "Five coins tossed. Probability more heads than tails:", "options": {"A": "1/2", "B": "13/32", "C": "11/32", "D": "5/16"}, "correct_answer": "A"},
    {"id": 83, "difficulty": "hard", "question": "Numbers 1-1000. Probability divisible by 3 or 5 or 7:", "options": {"A": "0.543", "B": "0.467", "C": "0.533", "D": "0.577"}, "correct_answer": "A"},
    {"id": 84, "difficulty": "hard", "question": "Four dice rolled. Probability all different numbers:", "options": {"A": "5/18", "B": "1/3", "C": "5/12", "D": "1/6"}, "correct_answer": "A"},
    {"id": 85, "difficulty": "hard", "question": "Five cards drawn. Probability full house (3 of kind, pair):", "options": {"A": "6/4165", "B": "1/694", "C": "1/500", "D": "3/2165"}, "correct_answer": "A"},
    {"id": 86, "difficulty": "hard", "question": "Two numbers chosen from 1-20. Probability sum is even:", "options": {"A": "9/19", "B": "1/2", "C": "10/19", "D": "11/20"}, "correct_answer": "A"},
    {"id": 87, "difficulty": "hard", "question": "Three dice rolled. Probability sum is prime:", "options": {"A": "73/216", "B": "1/3", "C": "5/12", "D": "7/18"}, "correct_answer": "A"},
    {"id": 88, "difficulty": "hard", "question": "Probability random 4-digit number has distinct digits:", "options": {"A": "0.504", "B": "0.4536", "C": "0.432", "D": "0.476"}, "correct_answer": "B"},
    {"id": 89, "difficulty": "hard", "question": "Five coins tossed. Probability exactly 3 heads:", "options": {"A": "5/16", "B": "1/4", "C": "11/32", "D": "3/8"}, "correct_answer": "A"},
    {"id": 90, "difficulty": "hard", "question": "Three cards drawn. Probability forming sequence (like 4,5,6):", "options": {"A": "11/425", "B": "1/34", "C": "1/26", "D": "3/85"}, "correct_answer": "A"},
    {"id": 91, "difficulty": "hard", "question": "Numbers 1-200. Probability divisible by 6 or 8 but not 24:", "options": {"A": "1/4", "B": "3/10", "C": "7/20", "D": "2/5"}, "correct_answer": "A"},
    {"id": 92, "difficulty": "hard", "question": "Four coins tossed. Probability number of heads even:", "options": {"A": "1/2", "B": "5/16", "C": "11/16", "D": "3/8"}, "correct_answer": "A"},
    {"id": 93, "difficulty": "hard", "question": "Two dice rolled 5 times. Probability sum 7 exactly twice:", "options": {"A": "625/3888", "B": "125/648", "C": "25/144", "D": "5/36"}, "correct_answer": "A"},
    {"id": 94, "difficulty": "hard", "question": "Probability random 5-card hand has no pairs:", "options": {"A": "0.507", "B": "0.4226", "C": "0.4929", "D": "0.3765"}, "correct_answer": "B"},
    {"id": 95, "difficulty": "hard", "question": "Three numbers from 1-10. Probability they form triangle sides:", "options": {"A": "0.55", "B": "0.45", "C": "0.6", "D": "0.5"}, "correct_answer": "A"},
    {"id": 96, "difficulty": "hard", "question": "Six coins tossed. Probability equal heads and tails:", "options": {"A": "5/16", "B": "1/4", "C": "3/8", "D": "11/32"}, "correct_answer": "A"},
    {"id": 97, "difficulty": "hard", "question": "Numbers 1-100. Probability sum of digits equals product:", "options": {"A": "2/25", "B": "1/10", "C": "3/25", "D": "1/12"}, "correct_answer": "A"},
    {"id": 98, "difficulty": "hard", "question": "Four dice rolled. Probability sum is 14:", "options": {"A": "73/648", "B": "5/54", "C": "1/12", "D": "7/72"}, "correct_answer": "A"},
    {"id": 99, "difficulty": "hard", "question": "Five cards drawn. Probability exactly one ace:", "options": {"A": "3243/10829", "B": "1/5", "C": "1/6", "D": "2/13"}, "correct_answer": "A"},
    {"id": 100, "difficulty": "hard", "question": "Three numbers chosen from 1-15. Probability sum divisible by 3:", "options": {"A": "91/455", "B": "1/5", "C": "91/455", "D": "1/3"}, "correct_answer": "C"}
  ]
}