# A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. Find the probability that, Number on the ticket is a perfect square - Mathematics and Statistics

Sum

A box contains 75 tickets numbered 1 to 75. A ticket is drawn at random from the box. Find the probability that, Number on the ticket is a perfect square

#### Solution

The box contains 75 tickets numbered 1 to 75.

∴ 1 ticket can be drawn from the box in 75C1 = 75 ways.

∴ n(S) = 75

Let event B: Number on the ticket is a perfect square.

∴ B = {1, 4, 9, 16, 25, 36, 49, 64}

∴ n(B) = 8

∴ P(B) = ("n"("B"))/("n"("S"))

= 8/75

Concept: Basic Terminologies
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