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(e) Are “Under $30” and “Cash” independent events? Explain.
Problem 2. A carnival has three games. In Game A, the player has a 4% chance of
winning. In Game B, the player has a 3% chance, and in Game C, a 2% chance. You know
that your friend, who likes the carnival, is equally likely to play any of the three games.
(a) Draw a tree diagram to depict this situation. Include all events and probabilities
(conditional and joint) involved.
(b) You go to the carnival and see your friend with a stuﬀed dragon which she won
at one of the games. What is the probability that she won it at Game A?
(c) Inspired by your friend’s success, you decide to play one game. Unfortunately,
Game A has ceased...
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This note was uploaded on 01/11/2010 for the course MATH 218 taught by Professor Haskell during the Fall '06 term at USC.
 Fall '06
 Haskell
 Math, Probability

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