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Probability

Probability

  1. What is the probability of getting a head when tossing a fair coin once?
    a) 0
    b) 1
    c) 1/2
    d) 1/3
    Answer: c

  2. If a die is rolled once, what is the probability of getting an even number?
    a) 1/2
    b) 1/3
    c) 2/3
    d) 1/6
    Answer: a

  3. In probability, the sum of all possible event probabilities in an experiment is always:
    a) 0
    b) 1
    c) 2
    d) 100
    Answer: b

  4. The probability of an impossible event is:
    a) 1
    b) 0
    c) 1/2
    d) 2
    Answer: b

  5. If a bag contains 3 red balls and 2 blue balls, what is the probability of drawing a red ball?
    a) 3/5
    b) 2/5
    c) 1/5
    d) 1/3
    Answer: a

  6. What is the probability of rolling a number less than 5 on a standard die?
    a) 2/3
    b) 1/2
    c) 1/3
    d) 5/6
    Answer: a

  7. A fair die has how many total possible outcomes?
    a) 5
    b) 6
    c) 7
    d) 10
    Answer: b

  8. If the probability of an event happening is P(E), then the probability of it not happening is:
    a) 1 – P(E)
    b) P(E) – 1
    c) 2P(E)
    d) P(E) / 2
    Answer: a

  9. What is the probability of drawing a king from a standard deck of 52 playing cards?
    a) 1/13
    b) 1/4
    c) 1/52
    d) 1/26
    Answer: a

  10. What is the probability of getting a number greater than 2 when rolling a die?
    a) 2/3
    b) 1/2
    c) 5/6
    d) 1/3
    Answer: a

  11. Which of the following cannot be a probability value?
    a) 1
    b) 0.5
    c) -0.2
    d) 3/4
    Answer: c

  12. In a well-shuffled deck of 52 cards, what is the probability of drawing an ace?
    a) 1/26
    b) 1/13
    c) 1/52
    d) 4/52
    Answer: b

  13. What is the probability of selecting a black card from a deck of playing cards?
    a) 1/4
    b) 1/2
    c) 1/3
    d) 3/4
    Answer: b

  14. If a bag contains 4 red balls and 6 green balls, what is the probability of drawing a green ball?
    a) 3/5
    b) 2/5
    c) 1/5
    d) 4/10
    Answer: a

  15. The probability of rolling an odd number on a die is:
    a) 1/2
    b) 1/3
    c) 1/6
    d) 5/6
    Answer: a

  16. A die is rolled twice. What is the probability of getting two even numbers?
    a) 1/4
    b) 1/3
    c) 1/2
    d) 1/9
    Answer: a

  17. What is the probability of drawing a face card from a deck of 52 playing cards?
    a) 3/13
    b) 1/4
    c) 3/26
    d) 1/13
    Answer: a

  18. If P(A) = 0.4 and P(B) = 0.6, and A and B are complementary events, what is P(A ∪ B)?
    a) 1
    b) 0.6
    c) 0.4
    d) 0
    Answer: a

  19. A bag contains 4 red balls, 3 blue balls, and 2 green balls. What is the probability of drawing a red or blue ball?
    a) 4/9
    b) 7/9
    c) 5/9
    d) 3/9
    Answer: b

  20. A fair coin is tossed three times. What is the probability of getting at least one head?
    a) 7/8
    b) 3/8
    c) 1/2
    d) 1/8
    Answer: a

  21. What is the probability of getting at least one tail when flipping two coins?
    a) 3/4
    b) 1/2
    c) 1/4
    d) 2/4
    Answer: a

  22. If a probability of an event is P(E) = 0.7, what is the probability of its complement?
    a) 0.3
    b) 0.7
    c) 1
    d) 1.7
    Answer: a

  23. A bag contains 5 blue and 10 yellow marbles. What is the probability of selecting a yellow marble?
    a) 2/3
    b) 1/2
    c) 1/3
    d) 3/5
    Answer: a

  24. The probability of a certain event occurring is:
    a) 0
    b) 1
    c) 0.5
    d) None of these
    Answer: b

  25. What is the probability of rolling a sum of 8 when rolling two dice?
    a) 5/36
    b) 6/36
    c) 7/36
    d) 4/36
    Answer: a

  26. If a fair coin is tossed twice, what is the probability of getting at least one head?
    a) 1/2
    b) 3/4
    c) 1/4
    d) 2/3
    Answer: b

  27. The probability of an event that is certain to happen is:
    a) 0
    b) 1
    c) 1/2
    d) Cannot be determined
    Answer: b

  28. A bag contains 5 red, 3 blue, and 2 green balls. What is the probability of drawing a red ball?
    a) 1/2
    b) 3/10
    c) 1/5
    d) 5/10
    Answer: a

  29. If two dice are rolled, what is the probability of getting a sum of 7?
    a) 1/6
    b) 1/12
    c) 1/3
    d) 1/36
    Answer: a

  30. The probability of drawing a king from a well-shuffled deck of 52 playing cards is:
    a) 1/13
    b) 1/26
    c) 1/52
    d) 1/4
    Answer: a

  31. If a number is randomly chosen from 1 to 100, what is the probability that it is a multiple of 5?
    a) 1/5
    b) 1/10
    c) 1/20
    d) 1/25
    Answer: a

  32. A bag contains 4 white, 3 black, and 5 red balls. If one ball is drawn at random, what is the probability that it is neither white nor black?
    a) 3/4
    b) 5/12
    c) 1/2
    d) 7/12
    Answer: b

  33. If a coin is tossed three times, what is the probability of getting exactly two heads?
    a) 1/8
    b) 1/4
    c) 3/8
    d) 3/4
    Answer: c

  34. In a class of 40 students, 10 like cricket, 15 like football, and 5 like both. If a student is selected at random, what is the probability that they like either cricket or football?
    a) 1/2
    b) 3/4
    c) 1/4
    d) 2/5
    Answer: b

  35. A deck of playing cards has 52 cards. What is the probability of drawing a red face card?
    a) 1/13
    b) 3/26
    c) 2/13
    d) 1/26
    Answer: b

  36. The probability of not getting a 6 when rolling a fair die is:
    a) 1/6
    b) 5/6
    c) 2/3
    d) 1/2
    Answer: b

  37. A letter is chosen randomly from the word “PROBABILITY.” What is the probability of selecting the letter ‘B’?
    a) 1/11
    b) 2/11
    c) 3/11
    d) 4/11
    Answer: b

  38. If two fair dice are rolled, what is the probability that the product of the numbers rolled is even?
    a) 3/4
    b) 1/2
    c) 2/3
    d) 1/4
    Answer: a

  39. A lottery has 1000 tickets, and one ticket is drawn at random. If a person holds 20 tickets, what is the probability that they win?
    a) 1/50
    b) 1/25
    c) 1/100
    d) 1/20
    Answer: a

  40. A bag contains 6 white, 4 black, and 5 green balls. A ball is drawn at random. What is the probability that it is black or green?
    a) 9/15
    b) 4/15
    c) 3/5
    d) 2/5
    Answer: a

  41. A box contains 15 bulbs, out of which 5 are defective. If two bulbs are drawn at random, what is the probability that both are non-defective?
    a) 10/21
    b) 2/3
    c) 5/21
    d) 3/7
    Answer: a

  42. A bag contains 5 red balls and 7 green balls. Two balls are drawn at random. What is the probability that both are red?
    a) 1/3
    b) 5/22
    c) 2/5
    d) 3/10
    Answer: b

  43. If a die is rolled twice, what is the probability that the sum of the numbers is greater than 9?
    a) 1/6
    b) 1/9
    c) 5/18
    d) 1/4
    Answer: c

  44. A card is drawn from a deck. What is the probability that it is neither a king nor a queen?
    a) 11/13
    b) 9/13
    c) 10/13
    d) 12/13
    Answer: d

  45. The probability that a randomly chosen number between 1 and 50 is prime is:
    a) 9/25
    b) 11/25
    c) 3/10
    d) 2/5
    Answer: b

  46. Two dice are rolled together. What is the probability of getting at least one 5?
    a) 11/36
    b) 1/6
    c) 5/12
    d) 7/36
    Answer: a

  47. A team of 3 students is selected from a group of 8 boys and 7 girls. What is the probability that all selected students are boys?
    a) 14/65
    b) 10/39
    c) 2/5
    d) 16/35
    Answer: b

  48. If the probability of an event happening is 0.4, what is the probability of its complement?
    a) 0.4
    b) 0.6
    c) 1.0
    d) 0.5
    Answer: b

  49. The probability of randomly selecting a vowel from the word “PROBABILITY” is:
    a) 4/11
    b) 5/11
    c) 3/11
    d) 2/11
    Answer: a

  50. If a bag contains 8 blue balls, 5 red balls, and 7 green balls, what is the probability of drawing either a blue or green ball?
    a) 1/3
    b) 7/10
    c) 4/5
    d) 2/5
    Answer: b

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