Question

A box contains cards numbered 6 to 50. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square is ______.

Options

• `1/45`

• `2/15`

• `4/45`

• `1/9`

Answer 1

A box contains cards numbered 6 to 50. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square is `underlinebb(1/9)`.

Explanation:

Total number of outcomes = 45.

Out of the given numbers, perfect square numbers are 9, 16, 25, 36 and 49.

Numbers of favourable outcomes = 5.

∴ P(getting a number which is a perfect square) = `("Number of favourable outcomes")/"Number of all possible outcomes"`

`= 5/45 = 1/9`

Thus, the probability that the drawn card has a number which is a perfect square is `1/9`.