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 Metagame: Set and Match (Posted on 2020-10-27)
Suppose there's a game in which you have a 45% probability of winning. Let's make it a sedentary game, unlike tennis, so that you don't tire and the probability is always 45%.

Someone proposes a metagame: play a series of the original game, and if you win more games than your opponent, you win. But, there's a proviso: It must be an even number of games, and there's no tie-breaker, so again, it's not like tennis.

Your only strategy is to pick the actual, even, number of games. What's the choice of number of games that will minimize your probability of loss in the metagame?

 See The Solution Submitted by Charlie Rating: 3.0000 (1 votes)

 Subject Author Date re(2): Solution tomarken 2020-10-27 14:54:43 Implementing by Desmos Jer 2020-10-27 12:59:09 Implementing by TI calculator Jer 2020-10-27 12:51:08 re: Solution Steve Herman 2020-10-27 10:40:46 Solution tomarken 2020-10-27 08:01:51

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