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NCERT Exemplar Solutions Class 10 Mathematics Solutions for Statistics and Probability - Exercise 13.3 in Chapter 13 - Statistics and Probability

Question 37 Statistics and Probability - Exercise 13.3

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. Find the probability that it is a triangle.

Answer:

Total no. of triangles = 8

Triangles with blue colour = 3

Triangles with red colour = 8 – 3 = 5

Total no. of squares = 10

Squares with blue colour = 6

Squares with red colour = 10 – 6 = 4

Number of favourable outcomes for the event that lost figure is triangle

i.e., F(E) = 8

Total figures (square and triangle) = 8 + 10 = 18

i.e., T(E) = 18

Probability (getting a triangle) P(E) = \frac{\mathrm{F}(\mathrm{E})}{\mathrm{T}(\mathrm{E})}=\frac{8}{18}=\frac{4}{9}

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