How do you interpret the "dice problem"?

[Alan Mendelson]

There are 36 equally probable dice throws. Of these, there are 11 specific throws where someone who looked at the outcome would say, "At least one of the dice is a 2." (as posed in the original problem).

It's true. There are 11 combinations of two dice showing at least one 2.

But as soon as you throw 2 dice and one shows a 2, only six possible combinations remain. One of those will be 2-2.