View Single Post
  #19  
Old 10-06-2016, 11:59 AM
Thudlow Boink Thudlow Boink is offline
Charter Member
 
Join Date: May 2000
Location: Lincoln, IL
Posts: 24,103
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 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, re-roll 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.