SOLUTION: A basket contains 34 apples, 4 of which are bad, If a sample of two is drawn and not replaced, what is the probability that both will be bad?

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Question 437375: A basket contains 34 apples, 4 of which are bad, If a sample of two is drawn and not replaced, what is the probability that both will be bad?
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


The probability that the first one is bad is simply 4 divided by 34 which reduces to 2/17.

The probability that the second one is bad, presuming that the first one was bad, is 3 (one less because the first one picked was bad) divided by 33 (one less because no replacement, which reduces to 1/11

The total probability is the product of the two fractions, i.e. 4/187. Or, in the common vernacular, when pigs fly.

John

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