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.

Answer 1

Question Completion

(a)In this region, are the events "silver" and "black" mutually exclusive:? Choose 1 answer

(A) Yes (B) No

(b) Find the probability that a randomly selected car from this region is mainly silver OR mainly black. P (silver OR black)=

Answer:

(a)Yes

(b)0.41

Explanation:

(a) The events silver and black are mutually exclusive. Although a car's color can consist of both silver and black, its main color can only be either silver or black. It cannot be both

(b)In probability theory, given two mutually exclusive events A and B.

P(A or B)=P(A)+(B)

Therefore:

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

= 0.22 + 0.19

= 0.41