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

Yes, the events silver and black are mutually exclusive.

Step-by-step 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.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

step-by-step explanation: