MATHEMATICS CLASS- 10
MCQ- CH-14(Probability)
Class 10 Mathematics
Chapter 14: Probability
50 Board-Level MCQs with Answers and Solutions
Q1. Probability of an impossible event is
(a) 0
(b) 1
(c) 1/2
(d) 2
Answer: (a) 0
Q2. Probability of a sure event is
(a) 0
(b) 1/2
(c) 1
(d) 2
Answer: (c) 1
Q3. Probability always lies between
(a) -1 and 1
(b) 0 and 1
(c) 1 and 2
(d) -2 and 2
Answer: (b) 0 and 1
Q4. A coin is tossed once. Probability of getting a Head is
(a) 0
(b) 1/4
(c) 1/2
(d) 1
Answer: (c) 1/2
Q5. A die is thrown once. Probability of getting 6 is
(a) 1/3
(b) 1/6
(c) 1/2
(d) 1
Answer: (b) 1/6
Q6. The probability of getting an even number on a die is
(a) 1/6
(b) 1/3
(c) 1/2
(d) 2/3
Answer: (c) 1/2
Q7. Probability of getting an odd number on a die is
(a) 1/2
(b) 1/3
(c) 1/6
(d) 2/3
Answer: (a) 1/2
Q8. Probability of getting a prime number on a die is
(a) 1/6
(b) 1/3
(c) 1/2
(d) 2/3
Answer: (c) 1/2
Solution: Prime numbers are 2, 3, 5. Probability = 3/6 = 1/2.
Q9. Experimental probability is based on
(a) Observation of experiments
(b) Guessing
(c) Formula only
(d) Theory only
Answer: (a)
Q10. Probability of getting a number less than 7 on a die is
(a) 0
(b) 1/2
(c) 5/6
(d) 1
Answer: (d) 1
Q11. The probability of getting a red card from a deck of 52 cards is
(a) 1/4
(b) 1/2
(c) 1/3
(d) 2/3
Answer: (b)
Q12. A card is drawn from a deck. Probability of getting a King is
(a) 1/13
(b) 1/4
(c) 4/13
(d) 1/52
Answer: (a)
Q13. A card is drawn. Probability of getting a Queen is
(a) 1/4
(b) 1/13
(c) 4/13
(d) 1/52
Answer: (b)
Q14. Probability of drawing an Ace from a deck of cards is
(a) 1/13
(b) 1/4
(c) 4/13
(d) 1/52
Answer: (a)
Q15. A coin is tossed twice. Total possible outcomes are
(a) 2
(b) 3
(c) 4
(d) 6
Answer: (c) 4
Q16. Probability of getting two Heads in two coin tosses is
(a) 1/4
(b) 1/2
(c) 3/4
(d) 1
Answer: (a)
Q17. Probability of getting at least one Head in two coin tosses is
(a) 1/4
(b) 1/2
(c) 3/4
(d) 1
Answer: (c)
Q18. If probability of an event is P(E), then probability of its complement is
(a) P(E)
(b) 1 + P(E)
(c) 1 − P(E)
(d) 1/P(E)
Answer: (c)
Q19. Probability of getting a black card from a deck is
(a) 1/4
(b) 1/2
(c) 1/13
(d) 1
Answer: (b)
Q20. If P(E) = 0.25, then P(not E) equals
(a) 0.25
(b) 0.50
(c) 0.75
(d) 1
Answer: (c)
Q21. (CBSE PYQ) A die is thrown. Probability of getting a multiple of 3 is
(a) 1/6
(b) 1/3
(c) 1/2
(d) 2/3
Answer: (b)
Q22. Probability of drawing a face card from a deck is
(a) 3/13
(b) 1/13
(c) 1/4
(d) 1/2
Answer: (a)
Q23. Number of face cards in a deck is
(a) 8
(b) 10
(c) 12
(d) 16
Answer: (c)
Q24. Probability of getting a vowel from the word "MATHS" is
(a) 1/5
(b) 2/5
(c) 3/5
(d) 4/5
Answer: (a)
Q25. A bag contains 5 red and 3 blue balls. Probability of drawing a red ball is
(a) 3/8
(b) 5/8
(c) 1/2
(d) 5/3
Answer: (b)
Q26. (CBSE PYQ) A bag contains 7 white and 5 black balls. Probability of drawing a black ball is
(a) 5/12
(b) 7/12
(c) 1/2
(d) 5/7
Answer: (a)
Q27. Probability of getting a number greater than 4 on a die is
(a) 1/6
(b) 1/3
(c) 1/2
(d) 2/3
Answer: (b)
Q28. Probability of getting a number less than 3 on a die is
(a) 1/3
(b) 1/2
(c) 2/3
(d) 1/6
Answer: (a)
Q29. If probability of rain tomorrow is 0.8, then probability that it will not rain is
(a) 0.2
(b) 0.4
(c) 0.6
(d) 0.8
Answer: (a)
Q30. Probability of selecting a leap year from leap years only is
(a) 0
(b) 1/2
(c) 1
(d) Impossible
Answer: (c)
Q31. A card is drawn. Probability of getting a heart card is
(a) 1/2
(b) 1/4
(c) 1/13
(d) 13/52
Answer: (b)
Q32. Probability of getting a spade card is
(a) 1/2
(b) 1/4
(c) 1/13
(d) 13/26
Answer: (b)
Q33. The sum of probabilities of all possible outcomes is
(a) 0
(b) 1/2
(c) 1
(d) 2
Answer: (c)
Q34. Probability of drawing a red king from a deck is
(a) 1/13
(b) 1/26
(c) 1/52
(d) 2/52
Answer: (d)
Q35. Probability of getting a perfect square on a die is
(a) 1/6
(b) 1/3
(c) 1/2
(d) 2/3
Answer: (b)
Solution: Perfect squares are 1 and 4.
Q36. (CBSE PYQ) Probability of getting an odd number on a die is
(a) 1/6
(b) 1/3
(c) 1/2
(d) 2/3
Answer: (c)
Q37. If a coin is tossed three times, total outcomes are
(a) 4
(b) 6
(c) 8
(d) 12
Answer: (c)
Q38. Probability of getting all Heads in three coin tosses is
(a) 1/4
(b) 1/8
(c) 3/8
(d) 1/2
Answer: (b)
Q39. Probability of drawing a non-face card is
(a) 10/13
(b) 3/13
(c) 1/2
(d) 1/4
Answer: (a)
Q40. A die is thrown. Probability of getting a factor of 6 is
(a) 1/3
(b) 2/3
(c) 1/2
(d) 5/6
Answer: (b)
Solution: Factors of 6 are 1, 2, 3, 6.
Q41. Probability of selecting a consonant from the word "INDIA" is
(a) 2/5
(b) 3/5
(c) 4/5
(d) 1/5
Answer: (a)
Q42. (CBSE PYQ) Probability of drawing a Queen of Hearts is
(a) 1/13
(b) 1/26
(c) 1/52
(d) 4/52
Answer: (c)
Q43. If probability of success is 0.7, probability of failure is
(a) 0.2
(b) 0.3
(c) 0.4
(d) 0.7
Answer: (b)
Q44. Probability of getting an even prime number on a die is
(a) 1/6
(b) 1/3
(c) 1/2
(d) 2/3
Answer: (a)
Solution: Only 2 is an even prime number.
Q45. Which of the following has probability 0?
(a) Getting 7 on a die
(b) Getting 6 on a die
(c) Getting Head on a coin
(d) Drawing a card
Answer: (a)
Q46. Which of the following has probability 1?
(a) Getting a number less than 7 on a die
(b) Getting Head on a coin
(c) Getting 7 on a die
(d) Drawing an Ace
Answer: (a)
Q47. Experimental probability is calculated as
(a) Total Outcomes/Favourable Outcomes
(b) Favourable Outcomes/Total Outcomes
(c) Number of Trials/Successes
(d) Successes × Trials
Answer: (b)
Q48. If an event cannot occur, it is called
(a) Certain Event
(b) Complementary Event
(c) Impossible Event
(d) Experimental Event
Answer: (c)
Q49. The probability of an event E is denoted by
(a) E(P)
(b) P(E)
(c) PE
(d) EP
Answer: (b)
Q50. Which statement is true?
(a) Probability can be negative.
(b) Probability can be greater than 1.
(c) Probability lies between 0 and 1 inclusive.
(d) Probability is always equal to 1.
Answer: (c) Probability lies between 0 and 1 inclusive.
Solution: For any event E, 0 ≤ P(E) ≤ 1.