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When a certain experiment is performed, exactly one of event A, B, or C occurs, so...

When a certain experiment is performed, exactly one of event A, B, or C occurs, so that S={A, B, C} is a sample space for the experiment. Event A occurs with probability 1/2, while event B occurs with probability 1/3 and event C occurs with probability 1/6. If the experiment is performed 15 times, what is the probability that A occurs 8 times, B occurs 4 times and C occurs 3 times?

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