Unfortunately, OnceDear I have to think about two dice in a two dice question. It should be very easy for you to show, using two dice, why the chance of 2-2 with at least one die showing a 2, is 1-11. After all, it only involves two dice.

The coin flip problem is simple to illustrate.
So is the boy-girl problem -- simple to illustrate.
Certainly illustrating a problem with two dice must also be simple.

I am waiting for you and the Wizard (and the Wizard says he has video capability) to take two dice and show why -- when at least one die is a 2 -- the chance of showing 2-2 is 1/11.

This is simple to do, right? You've been showing me enough graphs and layouts of bets. Show me how the dice work to show 1/11 chances. Do it already.