Question

Students are randomly assigned housing when they enter the college. Thus, three friends will be randomly...

Students are randomly assigned housing when they enter the college. Thus, three friends will be randomly assigned to one out of four houses with equal probability.

a) What is the probability that all three of them are assigned to the same house?

b) What is the probability that all three will be assigned to different house?

c) What is the probability that two of them will be assigned to the same house and the other to a different house?

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