Suppose that a sports event, called, 'Palarong SCHOOL', which is played annually by different colleges will be won by Arts with a probability of 0.4, by Engg with a probability of 0.3, and by Management with a probability of 0.2. Further assume that whoever wins the event does not affect who wins in any other year. What is the probability that in the next 7 years, Arts would have won 3 times; Engg, 2 times; and some other player other than Engg, Arts, or Management, 2 times?

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