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Fair enough, I could have added losing by losing all pieces (Draughts) or being bankrupted (Monopoly) or being beaten to the last square (Snakes and Ladders) or indeed by being timed out in any game. The point is, the odds of the same player losing by such normal means in two games at once will be rare. What if a particular player is on the verge of winning one game when they lose the other? It could be because (in the case of Chess) they play much better as White than as Black, or because they play better than one opponent but worst than the other, or for other reasons I haven't thought of.