Problem

Suppose that a man has k keys, one of which will open a door. Compute the expected number...

Suppose that a man has k keys, one of which will open a door. Compute the expected number of keys required to open the door for the following two cases:

(a) The keys are tried one at a time without replacement.


(b) The keys are tried one at a time with replacement. (Hint: Condition on the outcome of the first try.)

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Solutions For Problems in Chapter 4