Question

PLEASE ANSWER!! 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

The probability that none of the shoes are black is:

The probability of the shoe that black is: 0.2

The probability of the shoe that is not black is: 0.8

Black: 0.2

Not black: 0.8

Since we’re looking for the probability of the shoe that is not black and there are 3 in a row, the answer will be = 0.8^3

= 0.8^3 will give you the equivalent of 0.512

If changed in percent form, the answer will be: 51.2%