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Find the probability that it is a triangle of red 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 rest are red.

10 squares of which are blue and rest are red.

One piece is lost at random.

We have to find the probability that it is a triangle of red 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 triangle of red colour is given by

Favourable outcome = triangle of red colour

Number of favourable outcomes = 5

Number of possible outcomes = 18

Probability = number of favourable outcomes / number of possible outcomes

Probability = 5/18

Therefore, the probability that the lost piece is a triangle of red colour is 5/18.

✦ Try This: A child’s game has 8 triangles of which 13 are blue and rest are red, and 9 squares of which 6 are blue and rest are red. One piece is lost at random. Find the probability that it is a triangle of red colour.

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

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

Find the probability that it is a triangle of red 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 rest are red. One piece is lost at random. The probability that it is a triangle of red colour is 5/18

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