A bag contains 4 red, 5 black and 6 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is red.

Given:

A bag contains 4 red, 5 black and 6 white balls. A ball is drawn from the bag at random.

To do:

We have to find the probability that the ball drawn is red.

Solution:

Number of black balls $=5$

Number of red balls $=4$

Number of white balls $=6$

Total number of balls $=5+4+6=15$

This implies,

The total number of possible outcomes $n=15$.

Total number of favourable outcomes(drawing a red ball) $=4$.

We know that,

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

Therefore,

Probability that the ball drawn is red $=\frac{4}{15}$

The probability that the ball drawn is red is $\frac{4}{15}$.