1.Real estate ads suggest that 66% of homes for sale have garages, 22% have swimming pools, and 17% have both features.
(A) [30 points] Label given quantities and Construct an appropriate Venn diagram.
(B) [40 points] What is the probability that a home for sale has neither a pool nor a garage?
(C) [30 points] What is the probability that a home for sale has swimming pool given that it has at least one of the two features
2. A survey of a student organization shows that 45% are Freshmen (F), 35% are Sophomores (S), the rest are Juniors (J). Among the F, 50% take Math (M). Among the S, 40% take M, while among the J 30% take M. Find the probability that student:
A) is an S and takes M (30 points)
B) takes M, (30 points)
C) is an S given that he/she takes M, (30 points)