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So I read Komi up to where I stopped with the anime yesterday and I think I'd say the answer is yes...ish? @Craigthinkspeak/1456586472417480707
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So my best explanation is that the source material already has these traits that I think are issues, and the anime does what an adaptation is supposed to do, just lean in on the things that make the story the way it is: everyone being horny for Komi
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Let X represent a player having either thumb up or down, where a single thumbs up is worth a score of 1 and a thumbs down is worth 0. E[X] is just the probability of each outcome times the total score for that thumb configuration
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Assuming every thumb configuration is equally likely you get E[X] = 1/4 ( (0+0) + (0+1) + (1+0) + (1+1) ) = 1. If there are N people playing the expected value of all their thumbs is N * E[X]
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So at the beginning of the game, you're most likely to win if you just guess the number of people playing. However, as people win, they take their thumbs away. The expected value of just one independent thumb E[T] = 1/2 by the same formula
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So in the general case, you are most likely to win every round of Yubisuma by guessing t/2, where t is the total number of thumbs left in the game. And indeed it checks out because at the beginning there are 2N thumbs, so 2N * E[T] = N * E[X] = N/2 = N
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It was somewhere around here that I realized that the fact Komi san compelled me to do discrete math is probably a testament to how little I am actually enjoying it











