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Sixteen batteries are tested to see if they last as long as the manufacturer claims. Four batteries fail the test. Two batteries are selected at random without replacement. Find the probability that both batteries pass the test.

Sagot :

The probability that both batteries pass the test is; 11/20

Solving probability questions

Total Number of Batteries tested = 16

Number of Batteries that fail the Test = 4

Number of batteries selected at Random = 2

Probability that both batteries fail the test = (4/16) * (3/15)

Probability that both batteries passed the test = 12/16 * 11/15 = 11/20

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