A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a stop after the end of a run. Suppose that the main chute deploys with probability 0.99, and that if the main fails to deploy, the backup deploys with probability 0.98.

a. What is the probability that one of the two parachutes deploys?

b. What is the probability that the backup parachutes deploys?

Step 1 of 2:

We have two parachutes.

The probability of the main parachute deploys is 0.99 and

The probability of the backup parachute deploys is 0.98

Let A and B be the two event.

Let A be the main parachute deploys.

Hence P(A) = 0.99

Let B be the backup parachute deploys.

Hence

Our goal is to find :

a). What is the probability that one of the two parachute deploys?

b). What is the probability that the backup parachute deploys?

a).

Now we have to find the probability that one of the two parachute deploys.

The formula of the is

Where

Substitute .

Therefore the probability that one of the two parachute deploys is 0.9998.