Question

When registering their cars, owners must identify the color that covers the largest portion of the vehicle. In a region where probabilities for car colors are given (white: 0.24, silver: 0.22, black: 0.19), are the events "silver" and "black" mutually exclusive?

a) Yes
b) No

Answer 1

The events 'silver' and 'black' as car color choices are not mutually exclusive because a car cannot be both colors at the same time and must be registered with just one dominant color.

Step-by-step explanation:

The events "silver" and "black" as car color choices are not mutually exclusive. This is because one car can only be one color at a time — choosing silver for the color of the car excludes the chance of it also being black, and vice versa.

Mutually exclusive events are two or more events that cannot happen at the same time. In this case, a car cannot be both silver and black simultaneously as it must be registered with the color that covers the largest portion, which can only be one single color.