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

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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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