Question

Suppose that there is a loop in a computer program and that the test to exit the loop depends on the value of a random variable X. The program exits the loop whenever X ∈ A, and this occurs with probability 1/3. If the loop is executed at least once, what is the probability that the loop is executed five times before exiting?

Answer 1

If loop is executed at least once then the probability that the loop is executed five times before exiting is 0.0658

Complete solution is given in attached image:

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