Little math problem(s) February 2019
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02-19-2019, 07:40 PM
(This post was last modified: 02-19-2019 07:41 PM by pier4r.)
Post: #4
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RE: Little math problem(s) February 2019
And another little one.
There are Alice and Barbara that play a game. Barbara wins alice 60% of the times. They want to organize a tournament, but they would like to avoid to rely on luck. Therefore they want to make a match be long enough to determine the better player with a certain accuracy. They know that between players that have 50% chances of win in a games (or close to that) the game would be very long, therefore they decide to pick another case as reference. They decide to make a tournament with a match composed of "Best of N" games, where N is the number of games needed to ensure that at least 90% of the times a player with 60% chances of winning a game against their opponent will win. Which N is that? What is N when the better player has 65% chances of winning a game? What is N when the better player has 70% chances of winning a game? Wikis are great, Contribute :) |
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