Question

Twenty percent of the shoes in a factory are black. One shoe is chosen and replaced. A second shoe is chosen and replaced. Then a third shoe is chosen. What is the probability that none of the shoes are black?

Answer 1

I am not sure about it

Answer 2

Answer: 0.512

Step-by-step explanation:

Given: The probability that  the shoes are black = 20%=0.20

The probability that shoes are not black= 1-0.02=0.08

If three shoes selected one after another , then the probability that none of the shoes are black is given by :-

$P(\text{none of the shoes are black})=0.8\times0.8\times0.8=0.512$

The probability that none of the shoes are black = 0.512