Question

At the Stop​ 'n Go​ tune-up and brake​ shop, the manager has found that an SUV will require a​ tune-up with a probability of​ 0.6, a brake job with a probability of 0.1 and both with a probability of 0.02. What is the probability that an SUV requires either a​ tune-up or a brake​ job?

Answer 1

Concept :

Mutually Exclusive Events :

Two events are said to be mutually exclusive when both the events cannot happen at the same time.

Thus , probability of either events happening is

P(X U Y) = P(X) + P(Y)

Mutually Inclusive Events :

Two events are said to the mutually inclusive when both the events can happen simultaneously at the same time.

Probability of either events happening is

P(X U Y) = P(X) +P(Y) - P(X and Y )