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Q.

State true or false.

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 $\frac{4}{9}$ .

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a

True

b

False

answer is A.

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Detailed Solution

Given that the 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.
Let us assume that P(A) is the probability of an event “A”, n(S) is the total number of events in the sample space and n(A) is the number of favorable outcomes.
Let A be the event that the lost piece is a triangle. So,

n A = 8

.
The total number of shapes is,

n S = 8 + 10 n S = 18

The probability is,

P A = Number of favourable outcomes Total number of outcomes P A = n A n S P A = 818 P A = 49

The probability that the lost piece is a triangle is

49

and the statement is true.
Therefore, option 1 is correct.

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