Question: Suppose that you have a key ring with eight keys on it, one of which is your house key. Further suppose that you get home

Suppose that you have a key ring with eight keys on it, one of which is your house key. Further suppose that you get home after dark and can't see the keys on the key ring. You randomly try one key at a time, being careful not to mix the keys that you've already tried with the ones you haven't. What is the probability that you get the right key?
a. On the first try?
b. On the eighth try?
c. On or before the fifth try?

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