In a tournament involving players 1,2,3,4,1,2,3,4, players 11 and 22 play a game, with the loser departing and the winner then playing against player 33, with the loser of that game departing and the winner then playing player 44The winner of the game involving player 44 is the tournament winner. Suppose that a game between players ii and jj is won by player ii with probability ii+jii+j. Find the expected number of games played by player 11. Find the expected number of games played by player 33.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
In a tournament involving players 1,2,3,4,1,2,3,4, players 11 and 22 play a game, with the loser departing and the winner then playing against player 33, with the loser of that game departing and the winner then playing player 44The winner of the game involving player 44 is the tournament winner. Suppose that a game between players ii and jj is won by player ii with
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Find the expected number of games played by player 11.
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Find the expected number of games played by player 33.
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