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

Answer:

The  probability that the drawn card has a number which is a perfect square is (d) $\dfrac{1}{9}$.

Step-by-step 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,

$\begin{aligned}\dfrac{Cards Present}{Sample Space} &= \dfrac{5}{45} \\&=\dfrac{1}{9}\end{aligned}$

So, option d is correct.