Answer: (a) 0.91
(b) 0.09
(c) 0.33
Step-by-step explanation:
Let probability of having a garage be P(G) = 0.58
And probability of having a swimming pool P(p) = 0.39
Probability of having both P(G and p) = 0.06
(a) P( pool or garage) = P(p) + P(G) - P(P and G)
Using the general addition rule add the probability of a house with a pool plus the probability of a house with a garage and subtract the probability of a house with both a garage and a pool.
= 0.58 + 0.39 -0.06
= 0.91
(b) P( neither pool nor garage) = 1 - P(pool or garage)
Probability of not having a pool nor a garage can be found by subtracting the probability of having a pool or a garage.
= 1 - 0.91
= 0.09
(c) P(pool and no garage) = P(p) - P(p and G)
Probability of a house with a pool but no garage can be found by subtracting the probability of having both a pool and a garage from the one of having only a pool.
= 0.39 - 0.06
= 0.33
