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 like 4,9....is
(a) 1/45
(b) 2/15
(c) 4/45
(d) 1/9

Answer 1

The probability that the drawn card has a number which is a perfect square is (d)
`(1)/(9)`.

Explanation:

A box contains cards numbered
`6` to
`50`. So there are total
`45` cards, which is the sample space.

Among these cards, the numbers which are a perfect square are
`9,16,25,36,49`. So, there are
`5` perfect square number cards, whose probability we have to find.

Its probability is given by,

`\begin{aligned}(Cards Present)/(Sample Space) &= (5)/(45) \\&=(1)/(9)\end{aligned}`

So, option d is correct.