Question

A bag contains 3 white, 5 black and 2 red balls, all of the same shape and size. A ball is drawn from the bag without looking into it, find the probability that the ball drawn is a black ball.

Answer 1

In a bag, 3 balls are white

2 balls are red

5 balls are black

Total number of balls = 3 + 2 + 5 = 10

Number of possible outcomes of one black ball = 10

And the number of favourable outcomes of one black ball = 5

∴ P(E) = `"Number of favourable outcomes"/"Number of all possible outcomes"`

= `5/10`

= `1/2`