[理工] 台大98 工數(D) 機率的問題
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},resprctively.
Assume that A's number (say a1)is smaller than or equal
B's number(say b1),then A gets on dollar.
Whoever gets one dollar(in this case,A)can pick an new number,say a2,
for the next run using his uniform distribution.
Whoever does not get one dollar(in this case,B)will use 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 game for
an infinite number of time,
what is the ratio of A's money and B's money at the end
of the game?
a)3:5 b)3:4 c)5:3 d)5:4 e)none of above
題目有點長~
計算到一個無止盡的深淵
希望有人能幫我解惑一下
謝謝
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※ 編輯: seark1219 來自: 123.194.24.76 (02/12 08:16)
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02/12 13:45, , 1F
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02/12 13:47, , 3F
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※ 編輯: seark1219 來自: 123.194.24.76 (02/12 13:52)
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02/12 13:52, , 7F
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※ 編輯: seark1219 來自: 123.194.24.76 (02/12 13:54)
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02/12 13:58, , 8F
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09/11 14:55, , 13F
09/11 14:55, 13F