Quote:
Originally Posted by Skammer
"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 ten shown the other die. What is the probability of the other die showing a six?"

As in the case of the infamous Monty Hall problem, one way of settling this would be experimentally.
Roll two fair dice. At least one of the dice should be a 6, so if this is not the case, reroll until it is.
Now, remove a 6.
Does the remaining die show a 6? Write down YES or NO.
Repeat this experiment many times, and then calculate the number of YESes you wrote down, dividing by the total number of trials.