In another website (RHP) forum the following problem was posted: A man with a hat shows you 3 cards, one completely gold, one completely silver, and one gold on one side and silver on the other. He puts them in his hat, and picks one at random. He then shows you one side of the card he picked, which happens to be silver. Now he says "I'll bet you even money that the other side of this card is silver too...whaddaya say, partner?" Is this bet a fair one? Now there are a few users that think it's really a fair bet and it's 50/50 that it's either gold or silver on the other side. They have problems with a few other probability exercises also. The thread there is a quite long debate (fistfight) and I was curious whether someone here could provide a clearly explained solution. I know it's not a fair bet, it's actually 66% that the man would win this bet and the problem is quite similar to the Monty Hall problem, but I was wondering if really there is another way to explain the problem than done in the thread given. Thank you.