Question

A bag contains 5 white, 2 red and 3 black balls. A ball is drawn at random. What is the probability that the ball drawn is a red ball?

Answer 1

Given: A bag contains 5 white, 2 red and 3 black balls. We draw one ball at random.

Step-wise calculation:

1. Total number of balls

= 5 + 2 + 3

= 10

2. Number of favourable outcomes (red balls) = 2.

3. Using classical probability:

P(event) = `"Number of favourable outcomes"/"Total number of outcomes"`

4. Therefore, P(red) = `2/10`

= `1/5`

= 0.2

The probability that the ball drawn is red is `1/5` (20%).