My brother and I made a bet which I took. He had two coffee cups which were roll up the rim to win. The odds of a cup winning were 1 in 6. He was feeling very confident and said "if I don't win with both of these cups I pay your a dollar, but if I do win with both of these cups you pay me 10 dollars".
I understand that the probability of both cups winning is 1/6 * 1/6 = 1/36, which is the basis of why I took the bet. But how does the payout ratio affect this bet?