## Problem of the Day #270: Meme GeneratorDecember 14, 2011

Posted by Seungln in : potd , trackback

Albert, Billy, SeungIn and Sreenath are engaging in a meme war, in which every person makes memes out of everyone else. All of them are lazy, however, and they each make computer programs that will make memes for them. None of the programs are perfect, however, and have only a certain chance to be successful. If the sum of the probability that one person will succeed twice in a row is $1$ and the sum of the probability that one person will succeed, fail and then succeed again, in that order, is also $1$, and assuming that Billy is the best programmer and that Sreenath is the worst, what is the difference between Billy’s probability of success and Sreenath’s probability of success?

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