Question

A box contains cards numbered from $1$ to $50$. One card is drawn at random from the box. Find the probability that the number on the card is
(a) a perfect square.
(b) a number divisible by $6$.

Answer 1

(a) No. of perfect square between $1$ to $50$ $=7$ (from $1^{2}to{7}^2$)

Therefore the probability that the card is drawn is a perfect square $=\frac{7}{50}$

(b)No.of integers divisible by 6 between $1$ to $50$ $=8$ (from $6\times 1\to 6\times 8$)

Therefore the probability that the card is drawn is divisible by $6$ $=\frac{8}{50}=\frac{4}{25}$