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Old 10-06-2016, 10:33 AM
Cartoonacy Cartoonacy is offline
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Quote:
Originally Posted by Skammer View Post
"Two fair dice are rolled together, and you are told that 'at least one of the dice is a 6.' A 6 is removed, and you are then shown the other die. What is the probability of the other die showing a six?"
The wording is distracting. If it had said,
Quote:
"Two fair dice are rolled together, and you are told that 'at least one of the dice is a 6.' What is the probability of the other die showing a six?"
then I would say the answer is 1/11, since there are 11 ways that two dice could show at least one six, but only one of them in which both dice are sixes.

On the other hand, if it said,
Quote:
"Two fair dice are rolled together. A 6 is removed, and you are then shown the other die. What is the probability of the other die showing a six?"
then the answer would be 1/6. After you remove one die, the odds that the other one is a six is the same as rolling that die by itself.

The odds where at least one is a 6 are different from where this one is a 6. The way the problem is worded, I'd say that the act of removing one of the dice makes the odds of the other one being a six 1/6.