# Find the probability that it is a square of blue colour if a child’s game has 8 triangles of which 3 are blue and rest are red, and 10 squares of which 6 are blue and rest are red. One piece is lost at random

**Solution:**

Given, a child’s game has 8 triangles of which 3 are blue and the rest are red.

10 squares of which are blue and the rest are red.

One piece is lost at random.

We have to find the probability that it is a square of blue colour.

Considering 8 triangles,

Number of blue triangles = 3

Number of red triangles = 8 - 3 = 5

Considering 10 squares,

Number of blue squares = 6

Number of red squares = 10 - 6 = 4

Total number of game = 8 + 10 = 18

The probability that the lost piece is a square of blue colour is given by

Favourable outcome = square of blue colour

Number of favourable outcomes = 6

Number of possible outcomes = 18

Probability = number of favourable outcomes / number of possible outcomes

Probability = 6/18

= 1/3

Therefore, the probability that the lost piece is a square of blue colour is 1/3.

**✦ Try This: **A child’s game has 23 triangles of which 20 are blue and rest are red, and 19 squares of which 17 are blue and rest are red. One piece is lost at random. Find the probability that it is a square of blue colour.

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

**NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 37(iii)**

## Find the probability that it is a square of blue colour if a child’s game has 8 triangles of which 3 are blue and rest are red, and 10 squares of which 6 are blue and rest are red. One piece is lost at random

**Summary:**

A child’s game has 8 triangles of which 3 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 1/3

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