# CBSE Class 10 Maths Sample Question Paper 2019

#### Question 11 | Section B | 2 Mark | Probability - Dice

This 2019 CBSE class 10 Maths 2 mark question is from Probability. Answering the question requires basic understanding of the number of outcomes possible when two dice are tossed together and basic properties of prime numbers

Question 11: Two dice are thrown at the same time and the product of numbers appearing on them is noted. Find the probability that the product is a prime number.

## NCERT Solution to Class 10 Maths

### Explanatory Answer | Sample Question Paper 2019 Q11

Total number of outcomes when 2 dice are thrown = 36

Condition to be satisfied: Product of numbers appearing on the dice should be prime.
This is possible only when one number is '1' and the other number is a prime number.
Favourable outcomes = (1, 2), (1, 3), (1, 5), (2, 1), (3, 1), (5, 1) = 6 outcomes

Required probability = $\frac{6}{36}$ = $\frac{1}{6}$

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