Conditional Probabilityhard
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In a sequence of independent trials, let be the event that a success occurs on the -th trial, with . A random variable is defined as the number of trials until the first success. Given that the first success occurs after the 3rd trial (), what is the probability that the first success occurs on the 6th trial ()?
In a sequence of independent trials, let be the event that a success occurs on the -th trial, with . A random variable is defined as the number of trials until the first success. Given that the first success occurs after the 3rd trial (), what is the probability that the first success occurs on the 6th trial ()?