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5. In a given sample space, there are events A and B with P(A) .5, P(B)4, and P(AnB) (a) What is P(AU B)? (b) What is P(AnB)? 6. In a given sample space, there are events C and D with P(C) .5 and P(D)-8. Given this information: (a) what is the largest value that PCnDcould possibly be? (b) what is the smallest value that P(Cn D) could possibly be? (hint: use Venn diagrams.) . A bowl contains 4 slips of paper, labelled 1,2,3,4 respectively. Two slips are drawn out simultaneously and at random. (a) Give the sample space S for the simultaneous draw. (b) What is the probability that the sum of the labels of the two withdrawn slips is 5? 8. Suppose for the sake of discussion that in Connecticut 65% of the population follows the UConn womens basketball team, 65% of the population follows the UConn mens basketball team, and 80% of the population follows at least one of the teams. A person is randomly selected frorn the population (a) What is the probability that the person follows both teams? b) What is the probability that the person follows exactly one of the teams?

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