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A theater has 4 movies in its active inventory (A, B, C & D). The theater’s...

A theater has 4 movies in its active inventory (A, B, C & D). The theater’s resident statistician has determined the following probabilities for any individual at the theater: individual at the theater will not purchase a ticket for any movies with probability 30/100, individual at the theater will purchase a ticket for movie A with probability 15/100, individual at the theater will purchase a ticket for movie B with probability 20/100, individual at the theater will purchase a ticket for movie C with probability 15/100, and finally, individual at the theater will purchase a ticket for movie D with probability 20/100. Suppose that a group of 30 individuals walk into this theater who will each purchase a single movie ticket independent of the purchase of the other individuals. What is the probability of the event: 4 purchase a ticket for movie A, 6 purchase a ticket for movie B, 10 purchase a ticket for movie C and the rest of the group purchase a ticket for movie D?

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