A person has n keys, one of which will open her door. a) If they try the keys at random, discarding those that do not work, what is the probability that they will open the door on the 3rd attempt? b) What is the probability that they will open the door on the 3rd attempt if they do not discard previously

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A person has n keys, one of which will open her door.

a) If they try the keys at random, discarding those that do not work, what is the probability that they will open the door on the 3rd attempt?

b) What is the probability that they will open the door on the 3rd attempt if they do not discard previously tried keys? (note: each key is equally likely to be selected on each attempt).

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