I’d typically assume that after most card games, the cards become at least semi-ordered in some way, necessitating shuffling. However, after a standard game of war, I can’t quite figure out how the arrangement would become less random, since the winning and losing card stay together. If they’re indeed mathematically “less random,” after the game, why?
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> I can’t quite figure out how the arrangement would become less random, since the winning and losing card stay together.
At the start of the game each player’s cards are arranged randomly, in theory. However after you have cycled once through each player’s cards you can be sure they are arranged in a sequence of “high, low” or “low, high”, assuming of course they always keep the winning card in the same relative position.
Even if the cards are inserted in random order onto the bottom of each player’s deck, it is evident there is some sorting occurring. Someone with more high rank cards is going to be gradually inserting lower cards into their deck, and someone with low cards is going to be gradually losing them bringing the overall rank of their deck up.
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