Question

A box contains cards numbered 6 to 55. 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

• `7/50`

• `7/55`

• `1/10`

• `5/49`

Answer 1

A box contains cards numbered 6 to 55. A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square, is `bbunderline(1/10)`.

Explanation:

Given, A box contains cards numbered 6 to 55. Perfect square number are = 9, 16, 25, 36, 49

S = {6, 7, 8.....55},

n(S) = 50

A = {9, 16, 25, 36, 49}

n(A) = 5 

⇒ P(A) = `5/50 = 1/10`