Question

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

Answer 1

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 B be the event that number on ticket is a perfect square
∴ B = {1, 4, 9, 16, 25, 36, 49, 64}
∴ n(B) = 8

∴ P(B) = `("n"("A"))/("n"("S")`

= `8/75`