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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SophieVirginia SophieVirginia

04-04-2018
Mathematics

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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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Аноним Аноним · Answer 1 · 2018-04-04T01:02:44+02:00

P(black shoes) = 20% = 0.2

P(Not black shoes) = 100% - 20% = 80% = 0.8

P(None black) = 0.8 x 0.8 x 0.8 = 0.512 or 51.2%

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Answer: There is a probability of 51.2% that none of the shoes are black.
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