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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It would have exactly the same level of “randomness”, because the entire game is determined at the point of the initial deal, and there aren’t specific patterns in the cards that are played.
In some games you choose which cards to play, like poker. So in the final deck of a poker game, you may expect certain patterns to emerge, like cards of the same face value being together and straights together. You could consider this “less” random, because it would be more easy to make predictions based on what cards you see.
In War, you don’t have agency. So if two games are played such that the cards happened to be dealt the exact same, then the output would be the exact same. There would be no specific patterns in the output, either. So, it’s the exact same “randomness” as the original deck, given some cards, you have no better than a random chance at being able to guess the next card.
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