又来一题

sankt · #1 (**permalink**) 2008-06-09

有两个坛子，50个红球，50个白球，如何放置才能使得随机从一个坛子里面拿起一个球是红球的概率最大？

sankt · #2 (**permalink**) 2008-06-09

One question that is a little related to my subject.
Frankly speaking,I am alittle confused to the hint.

There are 3 boxes. One of them has red balls, one has blue balls only and the other has mixture of red and blue balls. The labels on their boxes always lie. (i.e. if the label says red, you are sure that it doesn't have red balls only,it could be a mixture) The task is to pick one box and pick only one ball from it and then correctly label all the three boxes.

Hint: There are only two combinations of distributions in which ALL the boxes have wrong labels. By picking a ball from the one labeled MIXTURE, it is possible to tell what the other two boxes have.