## Related questions with answers

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.

Solution

Verified**(a)** We are asked to determine the probability that both independent alternators will fail to provide electrical power. The probability is determined by the probability of the intersection of the two independent alternators.

The probability of the intersection of two events is the probability of both events happening together at the same time. It is determined by the number of possible outcomes in which both events occur at the same time divided by the total number of all possible outcomes.

It can also be calculated by the product of the probabilities of the two events which is expressed as:

$P(A \cap B)=P(A)P(B).$

## Create an account to view solutions

## Create an account to view solutions

## More related questions

1/4

1/7