a) a pool or a garage? b) neither a pool nor a garage? c) a pool but no garage?
ID: 3047947 • Letter: A
Question
a) a pool or a garage?
b) neither a pool nor a garage?
c) a pool but no garage?
a) The probability of having a pool or a garage is ________
b) The probability of having neither a pool nor a garage is ______
c) The probability of having a pool but no garage is __________
Real estate ads suggest that 67% of homes for sale have garages, 35%have swimming pools, and 10% have both features. What is the probability that a home for sale has
a) a pool or a garage?
b) neither a pool nor a garage?
c) a pool but no garage?
Explanation / Answer
P(have garrage) = 0.67
P(have pool) = 0.35
P(have both) = 0.1
a) P(having a pool or a garage) = P(have pool) + P(have garage) - P(have both)
= 0.67 + 0.35 - 0.1
= 0.92
b) P(having neither a pool nor a garage) = 1 - P(having a pool or a garage)
= 1 - 0.92
= 0.08
c) P(having pool but no garage) = P(have pool) - P(have both)
= 0.35 - 0.1
= 0.25
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