{
  "title": "Classical Probability (Probability) - Grade 10 CBSE",
  "total_questions": 100,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "Probability of an impossible event is:", "options": {"A": "0", "B": "1", "C": "0.5", "D": "0.25"}, "correct_answer": "A"},
    {"id": 2, "difficulty": "easy", "question": "Probability of a sure event is:", "options": {"A": "1", "B": "0", "C": "0.5", "D": "0.75"}, "correct_answer": "A"},
    {"id": 3, "difficulty": "easy", "question": "When a coin is tossed, probability of getting head is:", "options": {"A": "1/2", "B": "1", "C": "0", "D": "1/4"}, "correct_answer": "A"},
    {"id": 4, "difficulty": "easy", "question": "When a die is thrown, probability of getting 3 is:", "options": {"A": "1/6", "B": "1/3", "C": "1/2", "D": "2/3"}, "correct_answer": "A"},
    {"id": 5, "difficulty": "easy", "question": "When a die is thrown, probability of getting an even number is:", "options": {"A": "1/2", "B": "1/3", "C": "2/3", "D": "1/6"}, "correct_answer": "A"},
    {"id": 6, "difficulty": "easy", "question": "When a die is thrown, probability of getting a number less than 5 is:", "options": {"A": "2/3", "B": "1/3", "C": "1/2", "D": "5/6"}, "correct_answer": "A"},
    {"id": 7, "difficulty": "easy", "question": "When a die is thrown, probability of getting a prime number is:", "options": {"A": "1/2", "B": "1/3", "C": "2/3", "D": "1/6"}, "correct_answer": "A"},
    {"id": 8, "difficulty": "easy", "question": "A bag contains 3 red and 2 blue balls. Probability of drawing a red ball is:", "options": {"A": "3/5", "B": "2/5", "C": "1/5", "D": "4/5"}, "correct_answer": "A"},
    {"id": 9, "difficulty": "easy", "question": "A bag contains 4 white and 6 black balls. Probability of drawing a white ball is:", "options": {"A": "2/5", "B": "3/5", "C": "1/5", "D": "4/5"}, "correct_answer": "A"},
    {"id": 10, "difficulty": "easy", "question": "In a deck of 52 cards, probability of drawing a king is:", "options": {"A": "1/13", "B": "4/13", "C": "1/52", "D": "1/4"}, "correct_answer": "A"},
    {"id": 11, "difficulty": "easy", "question": "In a deck of 52 cards, probability of drawing a heart is:", "options": {"A": "1/4", "B": "1/13", "C": "1/52", "D": "4/13"}, "correct_answer": "A"},
    {"id": 12, "difficulty": "easy", "question": "In a deck of 52 cards, probability of drawing a black card is:", "options": {"A": "1/2", "B": "1/4", "C": "1/13", "D": "2/13"}, "correct_answer": "A"},
    {"id": 13, "difficulty": "easy", "question": "Probability always lies between:", "options": {"A": "0 and 1 inclusive", "B": "0 and 1 exclusive", "C": "0 and 10", "D": "-1 and 1"}, "correct_answer": "A"},
    {"id": 14, "difficulty": "easy", "question": "When two coins are tossed, probability of getting at least one head is:", "options": {"A": "3/4", "B": "1/4", "C": "1/2", "D": "1"}, "correct_answer": "A"},
    {"id": 15, "difficulty": "easy", "question": "When two coins are tossed, probability of getting two heads is:", "options": {"A": "1/4", "B": "1/2", "C": "3/4", "D": "1"}, "correct_answer": "A"},
    {"id": 16, "difficulty": "easy", "question": "When a die is thrown, probability of getting a number greater than 4 is:", "options": {"A": "1/3", "B": "1/2", "C": "2/3", "D": "1/6"}, "correct_answer": "A"},
    {"id": 17, "difficulty": "easy", "question": "A bag has 5 red, 3 green and 2 blue balls. Probability of drawing a green ball is:", "options": {"A": "3/10", "B": "1/2", "C": "1/5", "D": "2/5"}, "correct_answer": "A"},
    {"id": 18, "difficulty": "easy", "question": "Probability of getting a number divisible by 3 when a die is thrown is:", "options": {"A": "1/3", "B": "1/2", "C": "2/3", "D": "1/6"}, "correct_answer": "A"},
    {"id": 19, "difficulty": "easy", "question": "In a deck of cards, probability of drawing a face card is:", "options": {"A": "3/13", "B": "1/13", "C": "1/4", "D": "1/2"}, "correct_answer": "A"},
    {"id": 20, "difficulty": "easy", "question": "Probability of getting a tail when a coin is tossed is:", "options": {"A": "1/2", "B": "1", "C": "0", "D": "1/4"}, "correct_answer": "A"},

    {"id": 21, "difficulty": "medium", "question": "Two dice are thrown. Probability of getting sum 7 is:", "options": {"A": "1/6", "B": "1/12", "C": "1/18", "D": "1/36"}, "correct_answer": "A"},
    {"id": 22, "difficulty": "medium", "question": "Two dice are thrown. Probability of getting sum 10 is:", "options": {"A": "1/12", "B": "1/6", "C": "1/18", "D": "1/36"}, "correct_answer": "A"},
    {"id": 23, "difficulty": "medium", "question": "Two dice are thrown. Probability of getting sum as a prime number is:", "options": {"A": "5/12", "B": "7/12", "C": "1/2", "D": "1/3"}, "correct_answer": "A"},
    {"id": 24, "difficulty": "medium", "question": "Two dice are thrown. Probability of getting doublets is:", "options": {"A": "1/6", "B": "1/12", "C": "1/18", "D": "1/36"}, "correct_answer": "A"},
    {"id": 25, "difficulty": "medium", "question": "Two dice are thrown. Probability of getting sum at least 10 is:", "options": {"A": "1/6", "B": "1/12", "C": "1/18", "D": "1/36"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "A card is drawn from a deck of 52 cards. Probability of getting a red king is:", "options": {"A": "1/26", "B": "1/13", "C": "1/52", "D": "2/13"}, "correct_answer": "A"},
    {"id": 27, "difficulty": "medium", "question": "A card is drawn from a deck of 52 cards. Probability of getting a queen or a jack is:", "options": {"A": "2/13", "B": "1/13", "C": "4/13", "D": "1/26"}, "correct_answer": "A"},
    {"id": 28, "difficulty": "medium", "question": "A card is drawn from a deck of 52 cards. Probability of getting a spade or an ace is:", "options": {"A": "4/13", "B": "1/13", "C": "1/4", "D": "1/2"}, "correct_answer": "A"},
    {"id": 29, "difficulty": "medium", "question": "A bag contains 5 red, 4 blue and 3 green balls. Probability of drawing a red or blue ball is:", "options": {"A": "3/4", "B": "1/4", "C": "5/12", "D": "7/12"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "A bag contains 6 white and 4 black balls. Two balls are drawn. Probability that both are white is:", "options": {"A": "1/3", "B": "2/3", "C": "1/2", "D": "1/4"}, "correct_answer": "A"},
    {"id": 31, "difficulty": "medium", "question": "Three coins are tossed. Probability of getting exactly 2 heads is:", "options": {"A": "3/8", "B": "1/8", "C": "1/2", "D": "1/4"}, "correct_answer": "A"},
    {"id": 32, "difficulty": "medium", "question": "Three coins are tossed. Probability of getting at most 2 heads is:", "options": {"A": "7/8", "B": "1/8", "C": "1/2", "D": "3/8"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "Two dice are thrown. Probability of getting sum divisible by 3 is:", "options": {"A": "1/3", "B": "1/2", "C": "2/3", "D": "1/6"}, "correct_answer": "A"},
    {"id": 34, "difficulty": "medium", "question": "Two dice are thrown. Probability of getting sum as a perfect square is:", "options": {"A": "7/36", "B": "1/6", "C": "1/9", "D": "5/36"}, "correct_answer": "A"},
    {"id": 35, "difficulty": "medium", "question": "A card is drawn from a deck. Probability that it is neither a heart nor a king is:", "options": {"A": "9/13", "B": "4/13", "C": "1/4", "D": "3/4"}, "correct_answer": "A"},
    {"id": 36, "difficulty": "medium", "question": "A bag has 3 red, 4 blue and 5 green balls. Probability of drawing a non-red ball is:", "options": {"A": "3/4", "B": "1/4", "C": "1/3", "D": "2/3"}, "correct_answer": "A"},
    {"id": 37, "difficulty": "medium", "question": "Two dice are thrown. Probability that numbers on the dice are different is:", "options": {"A": "5/6", "B": "1/6", "C": "1/2", "D": "2/3"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "A card is drawn from a deck. Probability of getting a black queen is:", "options": {"A": "1/26", "B": "1/13", "C": "1/52", "D": "2/13"}, "correct_answer": "A"},
    {"id": 39, "difficulty": "medium", "question": "A bag contains 10 balls numbered 1 to 10. Probability of drawing an even number is:", "options": {"A": "1/2", "B": "1/10", "C": "1/5", "D": "2/5"}, "correct_answer": "A"},
    {"id": 40, "difficulty": "medium", "question": "Two dice are thrown. Probability of getting sum 8 or 9 is:", "options": {"A": "5/18", "B": "1/6", "C": "1/9", "D": "1/12"}, "correct_answer": "A"},
    {"id": 41, "difficulty": "medium", "question": "A card is drawn from a deck. Probability of getting a diamond or a face card is:", "options": {"A": "11/26", "B": "1/4", "C": "3/13", "D": "1/2"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "medium", "question": "Three coins are tossed. Probability of getting at least one tail is:", "options": {"A": "7/8", "B": "1/8", "C": "1/2", "D": "3/8"}, "correct_answer": "A"},
    {"id": 43, "difficulty": "medium", "question": "A bag has 8 red and 6 blue balls. Two balls are drawn. Probability that both are red is:", "options": {"A": "4/13", "B": "3/13", "C": "1/2", "D": "2/7"}, "correct_answer": "A"},
    {"id": 44, "difficulty": "medium", "question": "Two dice are thrown. Probability of getting sum less than 5 is:", "options": {"A": "1/6", "B": "1/12", "C": "1/18", "D": "1/9"}, "correct_answer": "A"},
    {"id": 45, "difficulty": "medium", "question": "A card is drawn from a deck. Probability of getting an ace or a spade is:", "options": {"A": "4/13", "B": "1/13", "C": "1/4", "D": "1/2"}, "correct_answer": "A"},
    {"id": 46, "difficulty": "medium", "question": "A bag contains 5 white, 7 red and 8 black balls. Probability of drawing a non-white ball is:", "options": {"A": "3/4", "B": "1/4", "C": "5/20", "D": "7/20"}, "correct_answer": "A"},
    {"id": 47, "difficulty": "medium", "question": "Two dice are thrown. Probability of getting sum greater than 9 is:", "options": {"A": "1/6", "B": "1/12", "C": "1/18", "D": "1/36"}, "correct_answer": "A"},
    {"id": 48, "difficulty": "medium", "question": "A card is drawn from a deck. Probability of getting a red face card is:", "options": {"A": "3/26", "B": "1/13", "C": "1/26", "D": "2/13"}, "correct_answer": "A"},
    {"id": 49, "difficulty": "medium", "question": "A bag has 12 balls: 4 red, 5 blue, 3 green. Probability of drawing a blue or green ball is:", "options": {"A": "2/3", "B": "1/3", "C": "5/12", "D": "3/4"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "medium", "question": "Two dice are thrown. Probability of getting sum as an even number is:", "options": {"A": "1/2", "B": "1/3", "C": "2/3", "D": "1/4"}, "correct_answer": "A"},
    {"id": 51, "difficulty": "medium", "question": "Three coins are tossed. Probability of getting exactly one head is:", "options": {"A": "3/8", "B": "1/8", "C": "1/2", "D": "1/4"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "medium", "question": "A card is drawn from a deck. Probability of getting a number card (2-10) is:", "options": {"A": "9/13", "B": "1/13", "C": "1/4", "D": "3/4"}, "correct_answer": "A"},
    {"id": 53, "difficulty": "medium", "question": "A bag contains 6 white and 9 black balls. Two balls are drawn. Probability that both are black is:", "options": {"A": "12/35", "B": "3/7", "C": "2/5", "D": "1/3"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "medium", "question": "Two dice are thrown. Probability of getting sum 5 is:", "options": {"A": "1/9", "B": "1/12", "C": "1/18", "D": "1/36"}, "correct_answer": "A"},
    {"id": 55, "difficulty": "medium", "question": "A card is drawn from a deck. Probability of getting a club or an ace is:", "options": {"A": "4/13", "B": "1/13", "C": "1/4", "D": "1/2"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "medium", "question": "A bag has 10 red, 15 blue and 20 green balls. Probability of drawing a red ball is:", "options": {"A": "2/9", "B": "1/3", "C": "1/9", "D": "4/9"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "medium", "question": "Two dice are thrown. Probability of getting sum 11 is:", "options": {"A": "1/18", "B": "1/12", "C": "1/36", "D": "1/9"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "medium", "question": "A card is drawn from a deck. Probability of getting a heart or a king but not both is:", "options": {"A": "4/13", "B": "1/13", "C": "1/4", "D": "3/13"}, "correct_answer": "A"},
    {"id": 59, "difficulty": "medium", "question": "A bag contains 8 white, 6 red and 4 black balls. Probability of drawing a non-black ball is:", "options": {"A": "7/9", "B": "2/9", "C": "1/3", "D": "2/3"}, "correct_answer": "A"},
    {"id": 60, "difficulty": "medium", "question": "Two dice are thrown. Probability of getting sum 6 is:", "options": {"A": "5/36", "B": "1/6", "C": "1/9", "D": "1/12"}, "correct_answer": "A"},
    {"id": 61, "difficulty": "medium", "question": "Three coins are tossed. Probability of getting at least two heads is:", "options": {"A": "1/2", "B": "3/8", "C": "1/4", "D": "1/8"}, "correct_answer": "A"},
    {"id": 62, "difficulty": "medium", "question": "A card is drawn from a deck. Probability of getting a black card or a queen is:", "options": {"A": "7/13", "B": "1/2", "C": "4/13", "D": "1/13"}, "correct_answer": "A"},
    {"id": 63, "difficulty": "medium", "question": "A bag has 5 red, 4 blue and 3 green balls. Two balls are drawn. Probability that they are of different colors is:", "options": {"A": "47/66", "B": "19/66", "C": "5/66", "D": "1/3"}, "correct_answer": "A"},
    {"id": 64, "difficulty": "medium", "question": "Two dice are thrown. Probability of getting sum 12 is:", "options": {"A": "1/36", "B": "1/12", "C": "1/18", "D": "1/6"}, "correct_answer": "A"},
    {"id": 65, "difficulty": "medium", "question": "A card is drawn from a deck. Probability of getting a red ace is:", "options": {"A": "1/26", "B": "1/13", "C": "1/52", "D": "2/13"}, "correct_answer": "A"},
    {"id": 66, "difficulty": "medium", "question": "A bag contains 10 tickets numbered 1 to 10. Probability of drawing a prime number is:", "options": {"A": "2/5", "B": "1/2", "C": "3/5", "D": "1/5"}, "correct_answer": "A"},
    {"id": 67, "difficulty": "medium", "question": "Two dice are thrown. Probability of getting sum 4 is:", "options": {"A": "1/12", "B": "1/6", "C": "1/18", "D": "1/36"}, "correct_answer": "A"},
    {"id": 68, "difficulty": "medium", "question": "A card is drawn from a deck. Probability of getting a face card or a heart is:", "options": {"A": "11/26", "B": "1/4", "C": "3/13", "D": "1/2"}, "correct_answer": "A"},
    {"id": 69, "difficulty": "medium", "question": "A bag has 6 white, 8 red and 10 black balls. Probability of drawing a white or red ball is:", "options": {"A": "7/12", "B": "1/2", "C": "5/12", "D": "1/3"}, "correct_answer": "A"},
    {"id": 70, "difficulty": "medium", "question": "Two dice are thrown. Probability of getting sum 3 is:", "options": {"A": "1/18", "B": "1/12", "C": "1/36", "D": "1/9"}, "correct_answer": "A"},
    {"id": 71, "difficulty": "medium", "question": "Three coins are tossed. Probability of getting no head is:", "options": {"A": "1/8", "B": "7/8", "C": "1/2", "D": "3/8"}, "correct_answer": "A"},
    {"id": 72, "difficulty": "medium", "question": "A card is drawn from a deck. Probability of getting a king or a queen but not both is:", "options": {"A": "2/13", "B": "1/13", "C": "4/13", "D": "1/26"}, "correct_answer": "A"},
    {"id": 73, "difficulty": "medium", "question": "A bag contains 12 balls: 3 red, 4 blue, 5 green. Two balls are drawn. Probability that they are same color is:", "options": {"A": "19/66", "B": "5/66", "C": "47/66", "D": "1/3"}, "correct_answer": "A"},
    {"id": 74, "difficulty": "medium", "question": "Two dice are thrown. Probability of getting sum 9 is:", "options": {"A": "1/9", "B": "1/12", "C": "1/18", "D": "1/36"}, "correct_answer": "A"},
    {"id": 75, "difficulty": "medium", "question": "A card is drawn from a deck. Probability of getting a spade face card is:", "options": {"A": "3/52", "B": "1/13", "C": "1/26", "D": "3/26"}, "correct_answer": "A"},
    {"id": 76, "difficulty": "medium", "question": "A bag has 15 balls numbered 1 to 15. Probability of drawing a multiple of 3 is:", "options": {"A": "1/3", "B": "1/5", "C": "2/5", "D": "2/3"}, "correct_answer": "A"},
    {"id": 77, "difficulty": "medium", "question": "Two dice are thrown. Probability of getting sum 2 is:", "options": {"A": "1/36", "B": "1/12", "C": "1/18", "D": "1/6"}, "correct_answer": "A"},
    {"id": 78, "difficulty": "medium", "question": "A card is drawn from a deck. Probability of getting a diamond or a club is:", "options": {"A": "1/2", "B": "1/4", "C": "1/13", "D": "2/13"}, "correct_answer": "A"},
    {"id": 79, "difficulty": "medium", "question": "A bag contains 20 balls: 8 red, 7 blue, 5 green. Probability of drawing a non-green ball is:", "options": {"A": "3/4", "B": "1/4", "C": "5/20", "D": "7/20"}, "correct_answer": "A"},
    {"id": 80, "difficulty": "medium", "question": "Two dice are thrown. Probability of getting sum 13 is:", "options": {"A": "0", "B": "1/36", "C": "1/12", "D": "1/6"}, "correct_answer": "A"},

    {"id": 81, "difficulty": "hard", "question": "Three dice are thrown. Probability of getting sum 10 is:", "options": {"A": "1/8", "B": "1/12", "C": "1/24", "D": "1/36"}, "correct_answer": "A"},
    {"id": 82, "difficulty": "hard", "question": "Five coins are tossed. Probability of getting exactly 3 heads is:", "options": {"A": "5/16", "B": "1/4", "C": "5/32", "D": "1/2"}, "correct_answer": "A"},
    {"id": 83, "difficulty": "hard", "question": "From a deck of 52 cards, 2 cards are drawn. Probability that both are aces is:", "options": {"A": "1/221", "B": "1/13", "C": "4/663", "D": "1/169"}, "correct_answer": "A"},
    {"id": 84, "difficulty": "hard", "question": "From a deck of 52 cards, 2 cards are drawn. Probability that one is ace and one is king is:", "options": {"A": "8/663", "B": "1/169", "C": "4/663", "D": "1/221"}, "correct_answer": "A"},
    {"id": 85, "difficulty": "hard", "question": "A bag contains 5 red, 4 blue and 3 green balls. Three balls are drawn. Probability that all are different colors is:", "options": {"A": "3/11", "B": "1/11", "C": "2/11", "D": "4/11"}, "correct_answer": "A"},
    {"id": 86, "difficulty": "hard", "question": "Three dice are thrown. Probability of getting sum 15 is:", "options": {"A": "5/108", "B": "1/36", "C": "1/72", "D": "1/108"}, "correct_answer": "A"},
    {"id": 87, "difficulty": "hard", "question": "Five coins are tossed. Probability of getting at least 4 heads is:", "options": {"A": "3/16", "B": "1/4", "C": "5/16", "D": "1/2"}, "correct_answer": "A"},
    {"id": 88, "difficulty": "hard", "question": "From a deck of 52 cards, 2 cards are drawn. Probability that both are face cards is:", "options": {"A": "11/221", "B": "1/13", "C": "1/17", "D": "3/13"}, "correct_answer": "A"},
    {"id": 89, "difficulty": "hard", "question": "From a deck of 52 cards, 2 cards are drawn. Probability that both are of same suit is:", "options": {"A": "4/17", "B": "1/4", "C": "1/17", "D": "12/51"}, "correct_answer": "A"},
    {"id": 90, "difficulty": "hard", "question": "A bag contains 6 red, 5 blue and 4 green balls. Three balls are drawn. Probability that they are of same color is:", "options": {"A": "34/455", "B": "1/13", "C": "2/13", "D": "3/13"}, "correct_answer": "A"},
    {"id": 91, "difficulty": "hard", "question": "Three dice are thrown. Probability of getting sum 18 is:", "options": {"A": "1/216", "B": "1/36", "C": "1/72", "D": "1/108"}, "correct_answer": "A"},
    {"id": 92, "difficulty": "hard", "question": "Five coins are tossed. Probability of getting at most 2 heads is:", "options": {"A": "13/32", "B": "1/2", "C": "5/16", "D": "11/32"}, "correct_answer": "A"},
    {"id": 93, "difficulty": "hard", "question": "From a deck of 52 cards, 2 cards are drawn. Probability that one is heart and one is diamond is:", "options": {"A": "13/102", "B": "1/4", "C":  "1/8", "D": "13/204"}, "correct_answer": "A"},
    {"id": 94, "difficulty": "hard", "question": "From a deck of 52 cards, 2 cards are drawn. Probability that both are black is:", "options": {"A": "25/102", "B": "1/4", "C": "1/2", "D": "13/51"}, "correct_answer": "A"},
    {"id": 95, "difficulty": "hard", "question": "A bag contains 8 red, 6 blue and 4 green balls. Three balls are drawn. Probability that exactly 2 are red is:", "options": {"A": "28/85", "B": "3/17", "C": "7/34", "D": "14/85"}, "correct_answer": "A"},
    {"id": 96, "difficulty": "hard", "question": "Three dice are thrown. Probability of getting sum 9 is:", "options": {"A": "25/216", "B": "1/8", "C": "5/72", "D": "1/12"}, "correct_answer": "A"},
    {"id": 97, "difficulty": "hard", "question": "Five coins are tossed. Probability of getting more heads than tails is:", "options": {"A": "1/2", "B": "5/16", "C": "11/32", "D": "13/32"}, "correct_answer": "A"},
    {"id": 98, "difficulty": "hard", "question": "From a deck of 52 cards, 2 cards are drawn. Probability that they form a blackjack (ace + face card or 10) is:", "options": {"A": "32/663", "B": "8/663", "C": "1/13", "D": "1/221"}, "correct_answer": "A"},
    {"id": 99, "difficulty": "hard", "question": "From a deck of 52 cards, 2 cards are drawn. Probability that both are number cards (2-10) is:", "options": {"A": "36/221", "B": "9/13", "C": "81/169", "D": "9/17"}, "correct_answer": "A"},
    {"id": 100, "difficulty": "hard", "question": "A bag contains 10 red, 15 blue and 20 green balls. Three balls are drawn. Probability that all are of different colors is:", "options": {"A": "10/43", "B": "5/43", "C": "15/43", "D": "20/43"}, "correct_answer": "A"}
  ]
}