1. Let the universe U be the 137 movies that grossed at least
$150 million in the U.S in 2013. They can be categorized as
follows:
64 action
movies
Let A = { action movies }
75 rated
PG-13
Let P = { movies rated PG-13 }
52 two hours or
longer
Let L = { movies running two hours or longer }
38 action and PG-13
27 action and two hours
or longer
24 rated PG-13 and two
hours or longer
15 action, rated PG-13,
and two hours or longer
Draw a Venn diagram with three overlapping circles labeled A, P,
and L in a rectangle labeled U and use the information above to
place numbers in all the regions.
(a) How many movies were action or rated PG-13?
(b) How many movies were neither action, PG-13, nor two hours or
longer?
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Thank you.
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