Question

Cards marked with numbers 3, 4, 5, ......, 50 are placed in a box and mixed thoroughly. A card is drawn at random from the box. Find the probability that the selected card bears a perfect square number

Answer 1

Hey Mate,

Probability : The measure of the chance of an event happening.

Also, Probability = $\frac{Number of favourable outcomes}{Number of Total Outcomes}$

Given,

Cards with numbers from 3 to 50 are placed in a box.

A card is drawn at random from the box.

Then,

First, we have to find all the perfect square numbers.

They are :- 9 ( Square of 3 ), 16 ( Square of 4 ), 25 ( Square of 5 ), 36 ( Square of 6 ) and 49 ( Square of 7 ).

Then, Number of Favourable Outcomes = 5

Number of Total Outcomes = 48

Therefore, Probability = 5/48

Therefore, the probability that the selected card bears a perfect square number is 5/48.

Hope it Helps!