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Originally Posted by nafanny29
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Let's say I have a coin that comes up heads with probability 2/3 and tails with probability 1/3 and that I bet you even money that it it will be heads. If you accept it knowing all the facts, then I consider it a fair game and that you are a sucker, but if I conceal the fact that the coin is biased and give the impression that it is normal, then it would be a rigged game but still with a random outcome. The game is strongly in my favour, but I could still lose. A two-headed coin would give a non-random result.