Fifteen batteries are tested to determine whether the battery life is as long as advertised . Four batteries fail the test. From all fifteen…

Fifteen batteries are tested to determine whether the battery life is as long as advertised . Four batteries fail the test. From all fifteen batteries, two are selected at random without replacement .

Find the probability for each of the following scenarios.

(a) both batteries passed the test

(b) both batteries failed the test

(C) at least one battery failed the test

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