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A dartboard contains 20 equal-sized sectors numbered 1 through 20. A dart is thrown at the board at random 10 times. (a) What is the

A dartboard contains 20 equal-sized sectors numbered 1 through 20. A dart is thrown at the board at random 10 times.

(a) What is the probability that the dart lands in the sector marked 20 a total of 5 times?

(b) What is the expected number of times the dart would land in a given sector?

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