Another Gambler's Problem

sean9991 · 发表于 2004-12-10 22:24:30

Suppose you want to gamble on the NBA final (best of 7 series, the first team to win 4 games wins the sereis and no more games are played) of team A and B, and you support team A. You can bet any amount, say X, before each game, if team A wins, you get paid by 2X, otherwise, you lose the X. Your goal is that you win exactly $100 if team A wins the series, or lose exactly $100 if team B wins the final. Is this possible? If yes, what's you betting strategy?www.ddhw.com

只看该作者 · 发表于 2004-12-11 00:30:55

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呵呵 · 发表于 2004-12-11 01:29:36

可能。

构造如下数组：

0 31.25 62.5 87.5 100
-31.25 0 37.5 75 100
-62.5 -37.5 0 50 100
-87.5 -75 -50 0 100
-100 -100 -100 -100 /

每个数表示每次bet完后所赢钱数，初始位置为左上角，赢了则向右移动一步，输了向下移动一步，bet的

钱数=|目的钱数-初始钱数|。

如，第一次bet钱数是31.25。www.ddhw.com

sean9991 · 发表于 2004-12-11 01:46:10

Nice Answer

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