有一個遊戲,第一次贏的機率是0.01,第二次贏係0.02,如此類推
(第100次贏的probit就係1.00咁)
如果贏的話就停,輸的話就再玩,
平均要玩幾多次先贏?
You are playing a game,with at most 100 trial:
Let X be the probability of winning a game,
P(X|N=n)=0.01n, n=1,2,......,100
where n is the nth game you play
Find the average trial you play until you can win the game.
help! probability problem?
2016-03-17 5:30 pm
回答 (1)
2016-03-18 8:14 am
1 + 0.99 + 0.99*0.98 + 0.99*0.98*0.97 + ... + 0.99*0.98*0.97*...*0.02*0.01
= 1 + 0.99(1 + 0.98(1 + 0.97(1 +...(1 + 0.02(1 + 0.01)
= 12.20996063次
= 1 + 0.99(1 + 0.98(1 + 0.97(1 +...(1 + 0.02(1 + 0.01)
= 12.20996063次
收錄日期: 2021-04-24 22:57:02
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20160317093030AAWr3U0