Question

Cards numbered 1 to 30 are put in a bag. A card is drawn at random from the bag. Find the probability that the number on the drawn card is not a perfect square number.

Answer 1

Total number of outcomes = 30.

Let E₃ be the event of getting a number which is not a perfect square number.

Out of these numbers, perfect square numbers are 1, 4, 9, 16 and 25.

Number of favourable outcomes = 30 − 5 = 25

∴ P(getting non-perfect square number) = P(E₃) = `("Number of outcomes favourable to" E_3)/"Number of all possible outcomes"` 

`=25/30 = 5/6`

Thus, the probability that the number on the card is not a perfect square number is `5/6`.