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30 May, 18:39

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) =

+5
Answers (1)
  1. 30 May, 18:59
    0
    A) Yes

    Step-by-step explanation:

    Yes, the events silver and black are mutually exclusive, meaning they cannot not happen at the same time. While a car can certainly be black and silver, a car cannot be mainly silver AND mainly black at the same time. One color is going to be dominant

    P (silver OR black) = P (silver) + P (black)

    = 0.22 + 0.19

    = 0.41
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