Let A = the number of students that take French. Let B = the number of students that take Spanish. If n(A) = 15, n(B) = 10, n(U) = 20, and n(A ∩ B) = 7, draw a Venn diagram to represent this situation. Then, find the following:  a. P(A) b. P(B prime) c. P(A ∩ B) d. P(A ∪ B)

A sample of forty people was asked what type of fruit they had eaten the previous day. Four people answered apples only, fifteen people answered oranges and twelve people answered strawberries. Six people ate strawberries only. Eight people answered apples and oranges only. Three people answered oranges and strawberries. Two people ate all three types of fruit. Use a Venn Diagram to answer these questions after reading. a. How many people ate apples? _________ b. How many people ate at least two of these fruits that day? _________

In the following Venn diagram, U is the set of students in a class, A is the set of students who play soccer, and B is the set of students who play baseball. Determine how many students play soccer or baseball.   Venn DiagramA Venn diagram with a rectangle labeled U containing two overlapping circles labeled A and B. The area where the two circles overlap contains Dan, Max; the area for A only contains Faye, Sue, Tye; the area for B only contains Ada, Kate, Sam, Tim; and the area outside of both circles contains Ann, Bob, Eli, Jill, Liam, Paul.UAnnBobEliJillLiamPaulAFayeSueTyeDanMaxBAdaKateSamTim

If P(A) = .60, P(B) = .56, and P(A ∪ B) = .80, then P(B | A) = _____. Select one: a.Not enough information is given to answer this question. b..7742 c..7667 d..6000