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标题: 问一道prep的数学题 [打印本页]

作者: dypig1234    时间: 2011-11-12 07:06     标题: 问一道prep的数学题

A contest will consist of n questions, each of which is to be answered either "true" or "false". Anyone who answers all n questions correctly will be a winner. What is the least value of n for which the possibility is less than 1/1000 that a person who randomly guesses the answer to each question will be a winner?
答案:10
作者: glaxosmith    时间: 2011-11-13 06:48

答对几率1/2

2^3=8
2^6=64
2^9=512
2^10=1024

1/1024< 1/1000
作者: triangel8866    时间: 2011-11-13 20:23

这不就是求(1/2)的N次方小于1/1000么。。。。。就是2的n次方大于1000,n最小取10吧。。。。
作者: buttonwood    时间: 2011-11-15 06:30

顶楼上,对1024敏感的话,这题能秒杀~~




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