Real estate ads suggest that 61 % of homes for sale have garages, 39 % have swimming pools, and 14 % have both features.
a) if a home for sale has a garage, what's the probability that it has a pool, too?
b) are having a garage and having a pool independent events? explain.
c) are having a garage and having a pool mutually exclusive? explain.

a) 0.23, b) No, c) No.

Step-by-step explanation:

Since we have given that

Probability of homes for sale have garages = 61%

Probability of homes having swimming pool = 39%

Probability of homes having both = 14%

a) If a home for sale has a garage, what's the probability that it has a pool, too?

Using "Conditional probability", we get that

b) Are having a garage and having a pool independent events? Explain.

P(P).P(S) = 0.61×0.39=0.24≠P(P∩S)=0.14

Hence, they are not independent events.

c) Are having a garage and having a pool mutually exclusive? Explain.

Since P(P∩S)≠0

So, they are not mutually exclusive.

Hence, a) 0.23, b) No, c) No.

the answer is c hope this