CBSE Class 10 Mathematics Chapter 15 Probability Multiple Choice Questions with Answers. MCQ Class 10 Maths Probability with Answers was Prepared Based on Latest Exam Pattern. Students can solve NCERT Class 10 Mathematics Probability MCQs with Answers to know their preparation level.
Multiple Choice Questions - Set - 2
Question 1:
Two players, Sangeeta and Reshma, play a tennis match. It is known that the probability of Sangeeta winning the match is 0.62. The probability of Reshma winning the match is
(a) 0.62
(b) 0.38
(c) 0.58
(d) 0.42
Correct Answer – (B)
Probability of Sangeeta’s winning = P(S) = 0.62
Probability of Reshma’s winning = P(R) = 1 – P(S) {since events R and S are complementary}
= 1 – 0.62
= 0.38
Question 2 :
A card is drawn from a deck of 52 cards. The event E is that card is not an ace of hearts. The number of outcomes favourable to E is
(a) 4
(b) 13
(c) 48
(d) 51
Correct Answer – (D)
In a deck of 52 cards, there are 13 cards of heart and 1 is ace of heart.
Given that the event E is that card is not an ace of hearts.
Hence, the number of outcomes favorable to E = 52 – 1 = 51
Question 3 :
The probability that a non leap year selected at random will contain 53 Sundays is
(a) 1/7
(b) 2/7
(c) 3/7
(d) 5/7
Correct Answer – (A)
Non-leap year = 365 days
365 days = 52 weeks + 1 day
For 52 weeks, number of Sundays = 52
1 remaining day can be Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.
Total possible outcomes = 7
The number of favourable outcomes = 1
Thus, the probability of getting 53 Sundays = 1/7
Question 4 :
An event is very unlikely to happen. Its probability is closest to
(a) 0.0001
(b) 0.001
(c) 0.01
(d) 0.1
Correct Answer – (A)
The probability of an event which is very unlikely to happen is closest to zero.
Thus, 0.0001 is the probability of an event which is very unlikely to happen.
Question 5 :
A card is selected at random from a well shuffled deck of 52 playing cards. The probability of its being a face card is
(a) 3/13
(b) 4/13
(c) 6/13
(d) 9/13
Correct Answer – (A)
Total number of outcomes = 52
Number of face cards = 12
The probability of its being a face card = 12/52 = 3/13
Question 6 :
The probability of getting a bad egg in a lot of 400 is 0.035. The number of bad eggs in the lot is
(a) 7
(b) 14
(c) 21
(d) 28
Correct Answer – (B)
Total number of eggs = 400
Probability of getting a bad egg = Number of bad eggs/Total number of eggs
0.035 = Number of bad eggs/400
Number of bad eggs = 0.035 × 400 = 14
Question 7 :
If the probability of an event is p, the probability of its complementary event will be
(a) p – 1
(b) p
(c) 1 – p
(d) 1 – 1/p
Correct Answer – (C)
The sum of probability of an event and it complementary event = 1
So, if the probability of an event is p, the probability of its complementary event will be 1 – p.
Question 8 :
If P(A) denotes the probability of an event A, then
(a) P(A) < 0
(b) P(A) > 1
(c) 0 ≤ P(A) ≤ 1
(d) –1 ≤ P(A) ≤ 1
Correct Answer – (C)
Question 9 :
If an event cannot occur, then its probability is
(a) 1
(b) 3/4
(c) 1/2
(d) 0
Correct Answer – (D)
Question 10 :
The sum of the probabilities of all the elementary events of an experiment is
(a) 0.5
(b) 1
(c) 2
(d) 1.5
