26. Suppose that 20 sticks are broken, each into one long and one short part. By pairing...

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26. Suppose that 20 sticks are broken, each into one long and one short part. By pairing them randomly, the 40 parts are then used to make 20 new sticks.

(a) What is the probability that long parts are all paired with short ones?

(b) What is the probability that the new sticks are exactly the same as the old ones?

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