Two gamblers betting with an infinity supply of cards which has two consecutive numbers n and n+1 with total number of 10^n. The betting rule is the people who sees the lower number win. A and B as participates bet each with bookie. Since both of them think the probability of their win would be 10 times more probable than their counterpart, the odds tend to be 9 to 1. I deeply doubt the conclusion and can't see why.