# 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 both will fail?

##### 1 Answer

$.0004$

#### Explanation:

The probability that an alternator will fail is:

$P \left(f a i l\right) = .02$

Since the failure of one alternator has no effect on the other alternator, they are independent events. We can find the probability of independent events by multiplying them:

$P \left(f a i l\right) \times P \left(f a i l\right) = .02 \times .02 = .0004$