Cards numbered 1 to 30 are put in a bag. A card is drawn at random from this bag. Find the probability that the number on the drawn card is not a perfect square number.

 Given:

Cards numbered 1 to 30 are put in a bag. A card is drawn at random from this bag.

To do:

We have to find the probability that the number on the drawn card is not a perfect square number.

Solution:

Total number of cards $=30$

This implies,

The total number of possible outcomes $n=30$.

Perfect square numbers from 1 to 30 are 1, 4, 9, 16 and 25.

Total number of numbers which are not perfect square numbers from 1 to 30 $=30-5=25$

Total number of favourable outcomes $=25$.

We know that,

Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$

Therefore,

Probability that the number on the drawn card is not a perfect square number $=\frac{25}{30}$

$=\frac{5}{6}$

The probability that the number on the drawn card is not a perfect square number is $\frac{5}{6}$.