# Two dice are thrown together. Find the probability that the product of the numbers on the top of the dice is 12

**Solution:**

Given, two dice are thrown together.

We have to find the probability that the product of the numbers on the top of the dice is 12.

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

Favourable outcomes = {(2,6) (3,4) (4,3) (6,2)}

Number of favourable outcomes = 4

Number of possible outcomes = 36

Probability = number of favourable outcomes / number of possible outcomes

Probability = 4/36

= 1/9

Therefore, the probability of getting the product of the numbers as 12 on the top

of the dice is 1/9.

**✦ Try This: **Two dice are thrown together. Find the probability that the product of the numbers on the top of the dice is 10.

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

**NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 21(ii)**

## Two dice are thrown together. Find the probability that the product of the numbers on the top of the dice is 12

**Summary:**

Two dice are thrown together. The probability that the product of the numbers on the top of the dice is 12 is 1/9

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