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 is 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 outcome"`

= `5/10 = 1/2`