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1. Two teams A and B are playing in a three-game series. The series ends as soon as one of the teams wins two games. Let
Posted: Thu Feb 17, 2022 10:57 am
by answerhappygod
- 1 Two Teams A And B Are Playing In A Three Game Series The Series Ends As Soon As One Of The Teams Wins Two Games Let 1 (190.41 KiB) Viewed 50 times
1. Two teams A and B are playing in a three-game series. The series ends as soon as one of the teams wins two games. Let X denote the outcome between the two teams; possible values for X are AA (team A wins in two straight games), BAA (team B wins first game, then loses two straight), etc. Let Y E {2,3} denote the number of games played. Assume that the two teams are evenly matched (i.e. cach team is equally likely to win a given game) and outcomes of games are independent. (a) Calculate H(X). (b) Calculate H(Y). (c) Calculate H(X|Y).