It was two years ago today...

[a2a3dseddie]

In order for the answer to be 1/11, the die that originally shows a 2 would have to rotate to show other positions.

Here is the original problem again:

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?


Let's say you are the peeker Alan. We are using a pair of regulation identical looking craps dice. In a previous post you gave an example where you say you see:

Dice 1=6
Dice 2=2

This is 1 of the 11 possible combinations you could be looking at.

Dice 1=2
Dice 2=6

Here is the other possible combination you could be looking at.

They appear identical, but are not. You play a lot of craps, you know why there are 6 combinations for a 7.

So, 2 of the 11 possible combinations where at least one dice is a 2 are represented here. Other people have tried to demonstrate this using coloured dice. i.e. mickeycrimm

No dice need to rotate or spin.