This.
No matter what kind of proof we show Alan, we'll get the same response, something like, "One die is a 2. The other is unknown. The chance of rolling a 2 on that die is 1/6. Simple. Easy. That's it. Nothing else."
I think deep down inside Alan knows the truth to be 1/11, but he's dug such a deep hole for himself, he can't admit 1/11 is the correct answer. I don't know, but I suspect he came to this / his forum because he thought the Rob Singers and others alike would undoubtedly agree with 1/6. Furthermore, I think Alan knows 1/11 to be correct, which is why he's not willing to wager $$$. But, anyone (who gambles) truly believes in 1/6, would have to have a very good reason to deny such a lucrative bet (33% edge on resolved bets, 5.55% edge on a per-roll basis). And I'm not talking about betting peanuts, either (unless you'd like to bet using peanuts).