3. Halloween will be here before you know it and the children in your

neighborhood will come trick-or-treating (that is, they will come to your door and demand candy). Suppose there are 20 children in your neighborhood and 30 houses (one of which is yours). Each child independently chooses 10 houses at random without replacement to visit.
(a) What is the probability that a specific child will visit your house?
(b) What is the probability that exactly 10 children visit your house?
(c) What is the expected number of houses that exactly 10 children visit?

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