# MCQ Questions for Class 10 Maths Chapter 15 Probability with Answers

Students are advised to solve the Probability Multiple Choice Questions of Class 10 Maths to know different concepts. Practicing the MCQ Questions on Probability Class 10 with answers will boost your confidence thereby helping you score well in the exam.

Explore numerous MCQ Questions of Probability Class 10 with answers provided with detailed solutions by looking below.

Question 1.

If a die is thrown once, the probability of getting a prime number is

(a) \(\frac { 1 }{ 4 }\)

(b) \(\frac { 1 }{ 2 }\)

(c) \(\frac { 1 }{ 5 }\)

(d) \(\frac { 1 }{ 3 }\)

## Answer

Answer: (b) \(\frac { 1 }{ 2 }\)

Question 2.

Cards each marked with one of the numbers 4, 5, 6 …20 are put in a box and mixed thoroughly. One card is drawn at random from the box. The probability of getting an even prime number is

(a) 0

(b) \(\frac { 1 }{ 20 }\)

(c) 1

(d) \(\frac { 1 }{ 2 }\)

## Answer

Answer: (a) 0

Question 3.

A fair die is cast in the game of ‘Ludo’. The probability of getting a score greater than 6 is

(a) 1

(b) \(\frac { 1 }{ 6 }\)

(c) zero

(d) \(\frac { 2 }{ 3 }\)

## Answer

Answer: (c) zero

Question 4.

The probability that a non leap year selected at random will contain 53 Sunday’s is

(a) \(\frac { 1 }{ 7 }\)

(b) \(\frac { 2 }{ 7 }\)

(c) \(\frac { 3 }{ 7 }\)

(d) \(\frac { 5 }{ 7 }\)

## Answer

Answer: (a) \(\frac { 1 }{ 7 }\)

Question 5.

A bag contains cards which are numbered from 2 to 90. A card is drawn at random from the bag. The probability that it bears a two digit number is:

(a) \(\frac { 88 }{ 90 }\)

(b) \(\frac { 88 }{ 92 }\)

(c) \(\frac { 81 }{ 89 }\)

(d) \(\frac { 89 }{ 90 }\)

## Answer

Answer: (c) \(\frac { 81 }{ 89 }\)

Question 6.

The probability of getting one head is

(a) \(\frac { 1 }{ 2 }\)

(b) \(\frac { 1 }{ 4 }\)

(c) \(\frac { 3 }{ 4 }\)

(d) None of these

## Answer

Answer: (a) \(\frac { 1 }{ 2 }\)

Question 7.

A number is selected at random from 1 to 75. The probability that it is a perfect square is

(a) \(\frac { 4 }{ 45 }\)

(b) \(\frac { 10 }{ 75 }\)

(c) \(\frac { 6 }{ 75 }\)

(d) \(\frac { 8 }{ 75 }\)

## Answer

Answer: (d) \(\frac { 8 }{ 75 }\)

Question 8.

Three face cards of spade are removed from a well shuffled pack of 52 cards and a card is drawn from the remaining pack. The probability of getting a black face card is

(a) \(\frac { 12 }{ 50 }\)

(b) \(\frac { 7 }{ 49 }\)

(c) \(\frac { 3 }{ 49 }\)

(d) \(\frac { 9 }{ 50 }\)

## Answer

Answer: (c) \(\frac { 3 }{ 49 }\)

Question 9.

Ram and Shyam are friends. The probability that both will have the same birth day is

(a) \(\frac { 1 }{ 365 }\)

(b) \(\frac { 2 }{ 365 }\)

(c) \(\frac { 364 }{ 365 }\)

(d) none of these

## Answer

Answer: (a) \(\frac { 1 }{ 365 }\)

Question 10.

Find the probability of getting a number greater than 2 when a die is thrown

(a) \(\frac { 1 }{ 6 }\)

(b) \(\frac { 2 }{ 6 }\)

(c) \(\frac { 4 }{ 6 }\)

(d) \(\frac { 2 }{ 3 }\)

## Answer

Answer: (d) \(\frac { 2 }{ 3 }\)

Question 11.

If the probability of winning a game is 0.3, the probability of losing it is

(a) 1.3

(b) 1

(c) 0.7

(d) 0.1

## Answer

Answer: (c) 0.7

Question 12.

The total number of events of throwing 10 coins simultaneously is

(a) 1024

(b) 512

(c) 100

(d) 10

## Answer

Answer: (a) 1024

Question 13.

Two fair coins are tossed simultaneously. Find the probability of Getting only one head

(a) \(\frac { 3 }{ 4 }\)

(b) \(\frac { 1 }{ 3 }\)

(c) \(\frac { 2 }{ 3 }\)

(d) \(\frac { 1 }{ 4 }\)

## Answer

Answer: (a) \(\frac { 3 }{ 4 }\)

Question 14.

A card is drawn from a pack of 52 cards at random. The probability of getting neither an ace nor a king card is

(a) \(\frac { 2 }{ 13 }\)

(b) \(\frac { 8 }{ 13 }\)

(c) \(\frac { 4 }{ 13 }\)

(d) \(\frac { 11 }{ 13 }\)

## Answer

Answer: (d) \(\frac { 11 }{ 13 }\)

Question 15.

A box contains 3 blue balls, 2 white balls and 4 red balls. If a ball is drawn at random from the box, the probability of getting a white ball is

(a) \(\frac { 3 }{ 9 }\)

(b) \(\frac { 4 }{ 9 }\)

(c) \(\frac { 2 }{ 9 }\)

(d) 1

## Answer

Answer: (c) \(\frac { 2 }{ 9 }\)

Question 16.

In a throw of a die, the probability of getting a prime number is

(a) \(\frac { 1 }{ 2 }\)

(b) 6

(c) \(\frac { 3 }{ 4 }\)

(d) \(\frac { 3 }{ 2 }\)

## Answer

Answer: (a) \(\frac { 1 }{ 2 }\)

Question 17.

A card is drawn from a pack of 52 cards at random. The probability of getting either an ace or a king card is

(a) \(\frac { 4 }{ 13 }\)

(b) \(\frac { 8 }{ 13 }\)

(c) \(\frac { 3 }{ 13 }\)

(d) \(\frac { 2 }{ 13 }\)

## Answer

Answer: (d) \(\frac { 2 }{ 13 }\)

Question 18.

Three unbiased coins are tossed. What is the probability of getting at most two heads?

(a) \(\frac { 7 }{ 8 }\)

(b) \(\frac { 3 }{ 8 }\)

(c) \(\frac { 1 }{ 4 }\)

(d) \(\frac { 3 }{ 7 }\)

## Answer

Answer: (a) \(\frac { 7 }{ 8 }\)

Question 19.

Cards marked with numbers 1, 2, 3, ……….., 25 are placed in a box and mixed thoroughly and one card is drawn at random from the box. The probability that the number on the card is a multiple of 3 or 5 is

(a) \(\frac { 8 }{ 25 }\)

(b) \(\frac { 13 }{ 25 }\)

(c) \(\frac { 4 }{ 25 }\)

(d) \(\frac { 3 }{ 5 }\)

## Answer

Answer: (b) \(\frac { 13 }{ 25 }\)

Question 20.

An urn contains lottery tickets numbered from 1 to 100. If a ticket is selected at random, then the probability that it is a perfect square is

(a) 0.1

(b) 0.08

(c) 0.09

(d) 0.01

## Answer

Answer: (a) 0.1

Question 21.

The probability of getting a prime number in single throw of a dice is:

(a) Zero

(b) \(\frac { 1 }{ 2 }\)

(c) \(\frac { 1 }{ 4 }\)

(d) \(\frac { 1 }{ 3 }\)

## Answer

Answer: (b) \(\frac { 1 }{ 2 }\)

Question 22.

Which of the following can not be the probability of an event?

(a) 0.1

(b) \(\frac { 1 }{ 3 }\)

(c) \(\frac { 17 }{ 16 }\)

(d) 5%

## Answer

Answer: (c) \(\frac { 17 }{ 16 }\)

Question 23.

If an event cannot occur, then its probability is

(a) 1

(b) \(\frac { 3 }{ 4 }\)

(c) \(\frac { 1 }{ 2 }\)

(d) 0

## Answer

Answer: (d) 0

Question 24.

An unbiased die is thrown once. The probability of getting a prime number is

(a) \(\frac { 1 }{ 3 }\)

(b) \(\frac { 1 }{ 4 }\)

(c) \(\frac { 1 }{ 2 }\)

(d) \(\frac { 1 }{ 5 }\)

## Answer

Answer: (c) \(\frac { 1 }{ 2 }\)

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