Question

When registering their cars, owners must identify the color that covers the largest portion of the vehicle. In one region, the probability that car was mainly white was 0.24, the probability that it was mainly silver was 0.22, and the probability that it was mainly black was 0.19.

In this region, are the events "silver" and "black" mutually exclusive?Immersive Reader

Answer 1

Yes, the events silver and black are mutually exclusive.

Explanation:

We are given;

the probability that car was mainly white;P(W) = 0.24

the probability that it was mainly silver;P(S) = 0.22

the probability that it was mainly black; P(B) = 0.19

We can say that while a car can certainly be black and silver, a car cannot be mainly silver and mainly black at the same time. This is because one color is going to be dominant. Thus, they cannot happen at the same time. We can therefore conclude that;

Yes, the events silver and black are mutually exclusive.