作者shancool (善)
看板Math
标题[机统] 掷骰问题
时间Sun May 8 22:33:06 2011
Let Xn be the sum of the first n outcomes of tossing a six-side die
repeated in an independent fashion.
Compute
P(Xn is dibisible by 7) as n->∞
先谢谢各位了!!
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1F：推 KitWoolsey :1/7 05/08 22:37
2F：→ KitWoolsey :if Xn-1 is divisible by 7 --> Xn is not 05/08 22:39
3F：→ KitWoolsey :Xn-1 is not --> Xn has 1/6 chance div by 7 05/08 22:39
4F：→ KitWoolsey :so f(n) = {1-f(n-1) }/6 05/08 22:39
5F：→ KitWoolsey :so f(n) = 1/7 if it is to be stable 05/08 22:40