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※ 編輯: msu 來自: 118.167.232.252 (01/13 09:08)
※ 編輯: msu 來自: 118.167.232.252 (01/13 09:08)
算題目看到的~題目有點長 請問
A and B are playing a game as follow,First A and B pick their own numbers
uniformly from {1,2,3,4,5} and {1,3,8},respectively.
Assume that A's number(say a1) is smaller than or equal B's number(say b1),
then A gets one dollar.
Whoever gets one dollar(in this case,A) can pick an new number,say a2,
for the next rn using a new number b2=b1-a1 for the next run.
The same rule applies to B.(Note that it is possible that both get one dollar
in the same run).
Let A and B play this gane for an infinite number of time,what is the ratio
of A's money and B's money at the end oh the game?
(A) 3:5 (B) 3:4
(C) 5:3 (D) 5:4
(E) None of above
請問這題如何求解呢?感謝解答^^
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