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Independent trials that result in a success with probability p

Independent trials that result in a success with probability p are successively performed until a total of r successes is obtained. Show that the probability that exactly n trials are required is

Use this result to solve the problem of the points (Example 4j).

In order for it to take n trials to obtain r successes, how many successes must occur in the first n − 1 trials?

Use this result to solve the problem of the points (Example 4j).

In order for it to take n trials to obtain r successes, how many successes must occur in the first n − 1 trials?

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