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Two roommates, Ken and Billy, play the following game: each throws a pair of fair dice,...

Two roommates, Ken and Billy, play the following game: each throws a pair of fair dice, and the first one to throw a sum of 7 does not have to pay next month's rent (the other roommate has to pay the rent in full: $800). If Ken throws first, the probability that Ken eventually wins—and does not have to pay this month's rent—is 0.55. a. Create a table that shows the probability distribution of Ken's winnings. For a loss, use a negative dollar amount. b. Make a graph showing the probability distribution of Ken's winnings. c. If you were Billy, would it be sensible to play this game (and go second), or would you rather be Ken (and go first)? Explain.

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