Sect2-7HTErrors: Problem 9 Previous Problem List Next (1 point) Real estate ads

Question

Sect2-7HTErrors: Problem 9 Previous Problem List Next (1 point) Real estate ads suggest that 57 % of homes for sale have garages, 42 % have swimming pools, and 11 % have both features. What is the probability that a home for sale has a) a pool or a garage? Answer = b) neither a pool nor a garage? Answer = c) a pool but no garage? Answer = Note: You can earn partial credit on this problem. Preview My Answers Submit Answers You have attempted this problem 1 time. Your overall recorded score is 0%.

Explanation / Answer

P(Garages) = 0.57, P(Swimming Pools) = 0.42

P( Garages AND Swimming Pools) = 0.11

a)

P(Garages OR Swimming Pools) = P(Garages)+ P(Swimming Pools) - P( Garages AND Swimming Pools)

= 0.57 + 0.42 - 0.11

= 0.88

b)

P( Neither a Pool nor a garage) = 1 - P( Garages OR Swimming Pools)

= 1 - 0.88

= 0.12

c)

P( Pool but not garage) = P( Pool) - P( Garages AND Swimming Pools)

= 0.42 - 0.11

= 0.31

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