Originally Posted by mickeycrimm View Post
Originally Posted by Alan Mendelson View Post
Mickey if you want the answer to be 1/11 CHANGE THE QUESTION. Ask: given all of the combinations of two dice that include the number 2, how many combinations can be 2-2. That answer is 1/11. My question is the correct question to get the answer 1/11.
You guys are not answering the question that was asked.
This is the question, the original question, that I answered. "your friend looks under the cup and says "at least one of the dice is a two. What is the probability that both dice are 2's?" This is the question I answered. It is a clear and concise question. I totally understand the question. I DID NOT, repeat, DID NOT, repeat, DID NOT, change the question. And I answered it clearly and concisely. When the only information you have is that "at least one die is a two" you cannot eliminate any of the 11 possible combinations from possibility. Both the dice are 2's in only one combination. Therefore, the answer is 1 in 11.
Mickey-mine was a trick question to show the absurdity of some of this. In my example, you can see both dice. The picture didn't transfer over to where I gave the answer but the original picture showed one die as a 2 and one as a 1. My odd sense of humor was not meant to to anything except highlight the way that the phrasing of the question may lead to this mess.