RD Sharma Test: Probability - Class 10 MCQ

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

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

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 

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

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

Number of possible outcomes (queen of diamonds) = 1
Number of Total outcomes = 52
Required Probability = 1/52

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

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

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

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

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

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

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

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

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

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

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

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 

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

The probability of a sure event is always 1.

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

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