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Suppose Bob has n keys, of which one will open his office door. a) Suppose Bob...

Suppose Bob has n keys, of which one will open his office door.

a) Suppose Bob tries the keys at random, discarding those that do not work, what is the probability that he will open the door on his kth try?

b) What is the probability that he will open the door if he does not discard previously tried keys?

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