Players A and B are taking part in a competition consisting of 11 different games. Each of the 11 games is always won outright by either A or B (i.e. a draw is not possible). 1 point is scored for winning a game, 0 points for a loss. So the overall competition has to be won outright by either A or B. Whoever has a higher score at the end of 11 games wins the competition.
Player A's win odds for all 11 games are known (see below), and it follows that Player B's win odds for any game n is [ 1 - P(A wins game n) ].
P(A wins game 1) : 0.9
P(A2) : 0.9
P(A3) : 0.9
P(A4) : 0.9
P(A5) : 0.7
P(A6) : 0.6
P(A7) : 0.5
P(A8) : 0.2
P(A9) : 0.2
P(A10): 0.2
P(A11): 0.1
What is the probability of A winning the overall competition (having a higher total score than B)?
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bushindo
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Players A and B are taking part in a competition consisting of 11 different games. Each of the 11 games is always won outright by either A or B (i.e. a draw is not possible). 1 point is scored for winning a game, 0 points for a loss. So the overall competition has to be won outright by either A or B. Whoever has a higher score at the end of 11 games wins the competition.
Player A's win odds for all 11 games are known (see below), and it follows that Player B's win odds for any game n is [ 1 - P(A wins game n) ].
P(A wins game 1) : 0.9
P(A2) : 0.9
P(A3) : 0.9
P(A4) : 0.9
P(A5) : 0.7
P(A6) : 0.6
P(A7) : 0.5
P(A8) : 0.2
P(A9) : 0.2
P(A10): 0.2
P(A11): 0.1
What is the probability of A winning the overall competition (having a higher total score than B)?
Edited by bushindoLink to comment
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