Exercises 2332 concern a version of the card game bid

Chapter 9, Problem 9.1.1.160

(choose chapter or problem)

Exercises 23–32 concern a version of the card game “bid Euchre” that uses a pack of 24 cards, consisting of ace, king, queen, jack, 10, and 9 in each of the four suits (spades, hearts, diamonds, and clubs). In bid Euchre, a hand consists of 6 cards. Find the probability of each event.

Using Venn Diagrams

A and B are events in a sample space S such that P(A) = 0.6, P(B) = 0.5, and P(A and B) = 0.3.

(a) Draw a Venn diagram showing the overlapping sets A and B and fill in the probabilities of the four regions formed.

(b) Find the probability that A occurs but B does not.

(c) Find the probability that B occurs but A does not.

(d) Find the probability that neither A nor B occurs.

(e) Are events A and B independent? (That is, does P(A|B) = P(A)?)

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