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Probability Rules

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A certain airplane has two independent alternators to provide electrical power. The probability that a given alternator will fail on a 1-hour flight is .02. What is the probability that (a) both will fail? (b) Neither will fail? (c) One or the other will fail? Show all steps carefully.

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(a) The probability that both will fail is equal to the probability that the first will fail times the probability that the second will fail.

(0.02)(0.02) = 0.0004

The answer is 0.0004 or 0.04%

(b) The probability that ...

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