Question

A bag contains 5 white and 3 black balls. Two balls are drawn at random one after the other with replacement. What is the probability both balls are drawn is black?

Answer 1

9/64

Explanation:

Given,

White balls = 5

Black Balls = 3

Total Balls = 5 + 3 = 8 balls

P (1st black ball) = 3/8

If there is replacement, P (2nd black ball) = 3/8

P (Both balls are black)

= P (1st black ball) x P(2nd black ball)

= 3/8 x 3/8

= 9/64