Question

A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue balls. One ball is drawn at random from the bag. What is the probability that the ball drawn is red or black.

Answer 1

Given: A bag contains 5 white, 7 red, 4 black and 2 blue balls; one ball is drawn at random.

Step-wise calculation:

1. Total number of balls

= 5 + 7 + 4 + 2

= 18

2. Number of favourable outcomes (red or black)

= 7 + 4

= 11

3. Required probability = `"Favourable"/"Total"`

= `11/18`

= 0.6111

The probability that the ball drawn is red or black = `11/18` (≈ 0.6111).