How to Lose with Least Probability

Details How to Lose with Least Probability How to Lose with Least Probability

2011-12-09

arxiv.org/abs/1112.2117v2

Mathematics

Probability

15 pages, 6 tables of values, 2 Mathematica programs, version 2

Scientific paper

Two players alternate tossing a biased coin where the probability of getting heads is p. The current player is awarded alpha points for tails and alpha+beta for heads. The first player reaching n points wins. For a completely unfair coin the player going first certainly wins. For other coin biases, the player going first has the advantage, but the advantage depends on the coin bias. We calculate the first player's advantage and the coin bias minimizing this advantage.

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