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Find the probability that it is a triangle 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 triangle.

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 triangle is given by

Favourable outcome = triangle

Number of favourable outcomes = 8

Number of possible outcomes = 18

Probability = number of favourable outcomes / number of possible outcomes

Probability = 8/18

= 4/9

Therefore, the probability that the lost piece is a triangle is 4/9.

✦ Try This: A child’s game has 9 triangles of which 4 are blue and rest are red, and 11 squares of which 6 are blue and rest are red. One piece is lost at random. Find the probability that it is a triangle.

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

NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 37(i)

Find the probability that it is a triangle 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 the 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 triangle is 4/9

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