Question

A bag contains 5 white, 7 red and 4 black balls. If four balls are drawn one by one with replacement, what is the probability that none is white?

Answer 1

Total number of balls = 5 + 7 + 4 = 16

Total number of non-white balls = 7 + 4 = 11

∴ Probability of drawing a non-white ball = `11/16`

Since, balls are drawn one by one with replacement.

So, the probability of drawing non-white balls 4 times

= `(11/16)^4`

= `14641/65536`