Question

A box contains 4 white balls and 6 black balls and another one, 3 white and 5 black. We can choose one box and take a ball. If we want a black ball, which box is the better choice?

Answer 1

Number of white balls in the first box = 4

Number of black balls in the first box = 6

Number of white balls in the second box = 3

Number of black balls in the second box = 5

Total number of balls in the first box = 10

Total number of balls in the second box = 8

Probability of getting a black ball from the first box =

=

Probability of getting a black ball from the second box =

=

0.625 > 0.6

∴ Probability of getting a black ball from the first box, i.e., 0.625 > Probability of getting a black ball from the second box, i.e., 0.6

Therefore, the second box is a better choice for getting a black ball.