# 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 less than 9

**Solution:**

Given, two dice are thrown at the same time.

We have to find the probability that the product of numbers appearing on the dice is less than 9.

When 2 dice are thrown at the same time, the overall possible outcomes are

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Total number of possible outcomes = 36

Probability = number of favourable outcomes / number of possible outcomes

The favourable outcomes are

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4)

(3,1) (3,2)

(4,1) (4,2)

(5,1)

(6,1)

Number of favourable outcomes = 16

Number of possible outcomes = 36

Probability = number of favourable outcomes / number of possible outcomes

Probability = 16/36

= 4/9

Therefore, the probability of getting a product less than 9 is 4/9.

**✦ Try This: **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 less than 11.

**☛ Also Check: **NCERT Solutions for Class 10 Maths Chapter 14

**NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 22**

## 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 less than 9

**Summary:**

Two dice are thrown at the same time and the product of numbers appearing on them is noted. The probability that the product is less than 9 is 4/9

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