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?

Question

Gina Wolfe

Mathematics

12 December, 16:19

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?

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Valentino Small · 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%