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CBSE Class 10  >  Class 10 Test  >  Online MCQ Tests  >  RD Sharma Test: Probability - Class 10 MCQ

RD Sharma Test: Probability - Class 10 Free MCQs with solutions


MCQ Practice Test & Solutions: RD Sharma Test: Probability (25 Questions)

You can prepare effectively for Class 10 Online MCQ Tests for Class 10 with this dedicated MCQ Practice Test (available with solutions) on the important topic of "RD Sharma Test: Probability". These 25 questions have been designed by the experts with the latest curriculum of Class 10 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 25 minutes
  • - Number of Questions: 25

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RD Sharma Test: Probability - Question 1
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An unbiased die is thrown once. The probability of getting a prime number is

Detailed Solution: Question 1

Number of possible outcomes = {2, 3, 5} = 3
Number of Total outcomes = 6
∴ Probability of getting a prime number = 3/6 = 1/2

RD Sharma Test: Probability - Question 2
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The probability that a leap year will have 53 Fridays or 53 Saturdays is

Detailed Solution: Question 2

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RD Sharma Test: Probability - Question 3
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A number is selected at random from 1 to 75. The probability that it is a perfect square is

Detailed Solution: Question 3

Number of possible outcomes = {1, 4, 9, 16, 25, 36, 49, 64} = 8
Number of Total outcomes = 75
∴ Probability of getting a perfect square = 8/75

RD Sharma Test: Probability - Question 4
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Ram and Shyam are friends. The probability that both will have the same birth day is

Detailed Solution: Question 4

Ignoring a leap year, both Ram and Shyam can have any day of the year as their birthday. 
∴ Total number of possible ways in which their birthday can fall = 
Also they can share the same birthday falls on same date = 365
∴ Required Probability 

RD Sharma Test: Probability - Question 5
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Which of the following can not be the probability of an event?

Detailed Solution: Question 5

17/16 cannot be the probability of an event because probability of an event cannot be greater than 1.

RD Sharma Test: Probability - Question 6
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A die is thrown once. The probability of getting an even number and a multiple of 3 is

Detailed Solution: Question 6

Number of possible outcomes = {6} = 1
Number of Total outcomes = 6
∴ Required Probability = 1/6

RD Sharma Test: Probability - Question 7
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The probability of selecting a queen of diamonds when a card is drawn from well shuffled pack of 52 cards is

Detailed Solution: Question 7

Step 1: Total number of outcomes
A standard deck has 52 cards. So, the total number of possible outcomes = 52.

Step 2: Number of favorable outcomes
There is only one queen of diamonds in the deck. So, the number of favorable outcomes = 1.

Step 3: Probability formula
Probability = (Number of favorable outcomes) ÷ (Total number of outcomes)
= 1 ÷ 52

Answer: a) 1/52

RD Sharma Test: Probability - Question 8
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A piggy bank contains 100 fifty paise coins, 50 one rupee coins, 20 two rupee coins and 10 five rupee coins. One coin is drawn at random. The probability that the coin drawn will not be a five rupee coin is

Detailed Solution: Question 8

Number of total coins = 100 + 50 + 20 + 10 = 180
Number of coins except five rupee coins = 180 – 10 = 170
∴ Required Probability = 170/180 = 17/18

RD Sharma Test: Probability - Question 9
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A letter of English alphabets is chosen at random. The probability that the letter is consonant 

Detailed Solution: Question 9

Number of consonants = 21
Number of total outcomes = 26
∴ Required Probability = 21/26

RD Sharma Test: Probability - Question 10
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If the probability of an event is ‘p’, the probability of its complementary event will be

Detailed Solution: Question 10

If the probability of an event is pp, the probability of its complementary event will be 1−p.

RD Sharma Test: Probability - Question 11
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When a die is thrown, the probability of getting an odd number less than 3 is

Detailed Solution: Question 11

Number of possible outcomes = {1} = 1
Number of Total outcomes = 6
∴ Required Probability = 1/6

RD Sharma Test: Probability - Question 12
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A card is drawn from a pack of 52 cards at random. The probability of getting neither an ace nor a king card is

Detailed Solution: Question 12

Number of Total outcomes = 52
Number of aces and Number of kings = 4 + 4 = 8
Number of cards except ace and king = 52 – 8 = 44
Required Probability = 44/52 = 11/13

RD Sharma Test: Probability - Question 13
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The probability that a non leap year selected at random will have 53 Sundays is

Detailed Solution: Question 13

Non-leap year contains 365 days = 52 weeks + 1 days
52 weeks contain 52 Sundays
We will get 53 Sundays if one Sunday will come in a week. 
Number of Total possible outcomes = 7
Number of possible outcomes = 1
∴ Required Probability = 1/7

RD Sharma Test: Probability - Question 14
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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

Detailed Solution: Question 14

 

 

RD Sharma Test: Probability - Question 15
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A child’s game has 8 triangles of which 5 are blue and rest are red and 10 squares of which 6 are blue and the rest are red. One piece is lost at random. The probability that it is a square of blue colour is

Detailed Solution: Question 15

Number of possible outcomes = 6
Number of total outcomes = 8 + 10 = 18 
∴ Required Probability = 6/18 = 1/3

RD Sharma Test: Probability - Question 16
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A number is selected at random from the numbers 7, 3, 9, 7, 9, 5, 7, 9, 9, 5. The probability that the selected number is their average is

Detailed Solution: Question 16

Average of given numbers
Number of outcomes = 3
Number of total outcomes = 10
∴ Required Probability = 3/10

RD Sharma Test: Probability - Question 17
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A card is drawn from a pack of 52 cards at random. The probability of getting either an ace or a king card is

Detailed Solution: Question 17

Number of Total outcomes = 52
Number of aces and Number of kings = 4 + 4 = 8
Required Probability = 8/52 = 2/13

RD Sharma Test: Probability - Question 18
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There are 20 boys and 15 girls in a class. A student is chosen as leader at random. The probability that the leader is a boy is

Detailed Solution: Question 18

Number of possible outcomes = 20
Number of Total outcomes = 20 + 15 = 35
∴ Required Probability = 20/35 = 4/7

RD Sharma Test: Probability - Question 19
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A letter of English alphabets is chosen at random. The probability that the letter chosen is a vowel is

Detailed Solution: Question 19

Number of consonants = 5
Number of total outcomes = 26
∴ Required Probability = 5/26

RD Sharma Test: Probability - Question 20
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A bag contains 50 balls of which 2x are red, 3x are white and 5x are blue. A ball is selected at random. The probability that it is not white is

Detailed Solution: Question 20

Here
2x + 3x + 5x = 50 = ⇒ 10x = 50 ⇒ x = 5
Number of red balls = 2 x 5 = 10
Number of white balls = 3 x 5 = 15
Number of blue balls = 5 x 5 = 25
Now, Number of possible outcomes = 25 + 10 = 35
And Number of total outcomes = 50
∴ Required Probability = 35/50 = 7/10 

RD Sharma Test: Probability - Question 21
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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

Detailed Solution: Question 21

Number of outcomes = 2
Number of total outcomes = 3 + 2 + 4 = 9
∴ Required Probability = 2/9

RD Sharma Test: Probability - Question 22
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The probability of a sure event is

Detailed Solution: Question 22

The probability of a sure event is always 1.

RD Sharma Test: Probability - Question 23
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From a well shuffled pack of 52 cards, one card is drawn at random. The probability of getting a black king is

Detailed Solution: Question 23

Number of possible outcomes = 2
Number of Total outcomes = 52
∴ Required Probability = 2/52 = 1/26

RD Sharma Test: Probability - Question 24
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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 and 5 is

Detailed Solution: Question 24

Correct Answer :- a

Explanation : Multiple of 3 : 3,6,9,12,15,18,21,24

Multiple of 5 : 5,10,15,20,25

Number of possible outcomes (multiple of 3 and 5) = {15} = 1

Number of Total outcomes = 25

∴ Required Probability = 1/25

RD Sharma Test: Probability - Question 25
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The probability of guessing the correct answer to certain text questions is x / 12. If the probability of not guessing the answer is 5/8, then the value of x is

Detailed Solution: Question 25

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About this Class 10 Practice Test

This test contains 25 MCQs on RD Sharma Test: Probability with detailed solutions for each question. It is part of the Online MCQ Tests for Class 10 course on EduRev, designed to align with the current Class 10 syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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