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 May10 awarded Informed Nov15 awarded Yearling Oct27 awarded Critic May14 awarded Caucus May10 asked Finding number of functions in set A May2 revised How do you calculate the probability of simultaneous events? deleted 28 characters in body Apr29 revised How do you calculate the probability of simultaneous events? added 17 characters in body Apr29 answered How do you calculate the probability of simultaneous events? Apr29 comment How do you calculate the probability of simultaneous events? Let A1, A2, A3, A4 be the events. Let P(A) be the probability of the event. So P(A1) = P(A2) = P(A3) = P(A4) = 0.1. You are searching for the probability of the union. P(A1 union A2 union A3 union A4) = P(A1) + P(A2) + P(A3) + P(A4) - P(A1)P(A2) - P(A1)P(A3) - P(A1)P(A4) - P(A2)P(A3) - P(A2)P(A4) - P(A3)P(A4) + P(A1)P(A2)P(A3) + P(A1)P(A2)P(A4) + P(A1)P(A3)P(A4) + P(A2)P(A3)P(A4) - P(A1)P(A2)P(A3)P(A4). Do the calculation and you'll have the exact probability. Hope this helps. Apr6 revised When two voters meet, they switch allegiance; might they all ally with the same candidate? deleted 98 characters in body Apr1 awarded Nice Question Mar31 accepted When two voters meet, they switch allegiance; might they all ally with the same candidate? Mar31 awarded Commentator Mar31 comment When two voters meet, they switch allegiance; might they all ally with the same candidate? No, 'always' is not implied. The question is about whether even one possibility exists. Feel free to edit it if you feel appropriate. Mar31 accepted Proving a system of n linear equations has only one solution Mar31 asked When two voters meet, they switch allegiance; might they all ally with the same candidate? Mar31 asked Proving a system of n linear equations has only one solution Jan5 accepted Easiest way to prove that $2^{\aleph_0} = c$ Jan5 comment Easiest way to prove that $2^{\aleph_0} = c$ Your answer is good. I understand what the theorem states, I looked it up before posting this. I'll wait a while to see if anybody comes up with a simpler solution, and if that doesn't happen I'll accept the answer. Forget an explicit bijection, but could you possibly explicitly suggest examples for the desired injections? Thanks Jan5 revised Easiest way to prove that $2^{\aleph_0} = c$ edited title