You have two 6-sided dice in a cup. You shake the dice, and slam the cup down onto the table, hiding the result. Your partner peeks under the cup, and tells you, truthfully, "At least one of the dice is a 2."
What is the probability that both dice are showing a 2?
Where does it say to do that?
Where does it say to do that?
Alan, you shoot craps. You know there are more combinations for a 7 than any other number. If I say 2 dice are rolled and one of them landed on 2 do you think there is only 1 way to make a 7?
Die 1=2
Die 2=5
?
What about
Die 1=5
Die 2 =2
?
The original question doesn't specify which die is the 2. Only that at least one of them is. Why can't you see that EITHER die could be the 2 the peeker sees? What in the original question is preventing you from seeing that?