The next time an LG bow is added to the game, the description of the Samurai bow will automatically change to a more accurate: "doubles the effectiveness of all Samurai armor and shield procs" description. If it doubled AC, that'd be a lil crazy.
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Computing the probability that at least one of the following events will occur:
P(a or b ... or z) = 1 - P(!a and !b ... and !z)
Probability
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