Ten pieces of paper numbered consecutively from 1 to 10 are put into a hat. if three pieces of paper are drawn at random from the hat one at a time without being returned to the hat, what is the probability that all three will be even numbers

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Montes

Mathematics

11 October, 16:38

Ten pieces of paper numbered consecutively from 1 to 10 are put into a hat. if three pieces of paper are drawn at random from the hat one at a time without being returned to the hat, what is the probability that all three will be even numbers

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Bria Cantu · Answer 1

There are 5 even numbers from 1 to 10.

The number of ways to draw all even numbers is 5! / (2!*3!) = 10

The number of ways to draw from the hat is 10! / (7!*3!) = 128

Therefore the probability is 10/128 = 5/64 or roughly 7.81%