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Conditional Probabilityhard
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In a sequence of independent trials, let EnE_nEn​ be the event that a success occurs on the nnn-th trial, with P(En)=pP(E_n) = pP(En​)=p. A random variable KKK is defined as the number of trials until the first success. Given that the first success occurs after the 3rd trial (K>3K > 3K>3), what is the probability that the first success occurs on the 6th trial (K=6K = 6K=6)?