Consider a sequence of independent trials, with each trial being a success with probability p. Given that the kth success occurs on trial n, show that all possible outcomes of the first n - 1 trials that consist of k - 1 successes and n - k failures are equally likely.
Added by Tanner Q.
Step 1
This means that in the first n-1 trials, there are k-1 successes and n-k failures. Let's call this event A. Now, we want to show that all possible outcomes of event A are equally likely. To do this, we need to show that the probability of each outcome is the Show more…
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