Problem 43575. Probabilities - More brains than luck

Created by Massimo Zanetti

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This problem is related to <a href = "http://it.mathworks.com/matlabcentral/cody/problems/596-more-luck-than-brains">Problem 596. More luck than brains</a>
where the test suite checks 3 times if the outcome of the solution is a random number between 1 and 6.Using brain, the "solver" would be interested in computing the probability of passing a general test (with some other interesting probabilities) where the suite checks C times if the outcome of the solution is a random number between 1 and N.So, here is the problem:<ol><li>Each test in the suite checks if a random number between 1 and N is guessed.</li><li>There are C tests in the suite.</li></ol>Output these values, given inputs N,C,K:<ol><li>P = the probability of passing the test suite.</li><li>XK = the probability that the number of times the function must be run to get a success (passing the test suite) is K.</li><li>M = the mean number of times the function must be run to get a success.</li></ol>You will see that, for N=6 and C=3, then M=216.

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Last Solution submitted on Apr 28, 2023

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Problem 43575. Probabilities - More brains than luck

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