A device can fail in four different ways with probabilities T1= 0.5, 12 = 0.1, T3 = 0.1, and 14 = 0.3. Suppose there are 10 devices that fail independently of one another. What is the probability of 3 failures of the first kind, 2 of the second, 1 of the third, and 4 of the fourth?

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