Complete 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:? Choose 1 answer
A) Yes
B) No
Find the probability that a randomly selected car from this region is mainly silver OR mainly black.
P (silver OR black)=
Answer:
Yes
0.410
Explanation:
Given that:
P(white) = 0.240
P(silver) = 0.220
P(black) = 0.190
An event is mutually exclusive if it's occurrence will prevent the simultaneous occurrence of another. That is two or more events which cannot happen at the same time. When one is in play, then the other cannot occur and vice-versa. In the scenario given, the dominant color cannot be mainly black and silver or white at the same time in the same region.
Hence, events "silver" and "black" are mutually exclusive.
B.) probability of mainly silver or mainly black.
P (silver OR black) = p(silver) + p(black)
= 0.220 + 0.190
= 0.410