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Posted by Moby Dick
on 9/11/2009, 8:28 pm
You are invited to play semi-random nim, which is played as follows:
* 20 tokens are placed on the table
* 2 players take turns
* on your go, you must choose to take from 1 to 6 tokens
* after you have made your choice, a random integer in the range 0 to 5 will be added (throw a die and subtract 1 from its score)
* the loser is the player who is obliged to take more tokens than are available
To prepare, calculate:
1. The best choice for each number of tokens
2. The probability of winning for each number of tokens
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