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 Duel (Posted on 2003-03-06)

One day your rival invites you out to an old fashion duel. The rules are as follows:

-You each take turns shooting each other.
-The duel stops when one person hits the other.
-Both of you are honourable enough to not take shots out of your turn.
-The probability of one person hitting the other is 1/2 and is independent of the probability of the other person hitting you.

Clearly, whoever shoots first has a distinct advantage. So your friends suggests flipping a coin for it. Little did you know that your rival uses a coin rigged in such a way that the probability of getting heads is only 1/3.

If you chose heads, what is the probability of you winning the duel?

 See The Solution Submitted by np_rt Rating: 3.3333 (6 votes)

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 Subject Author Date Puzzle Solution K Sengupta 2008-05-14 15:53:26 Answer K Sengupta 2008-05-13 05:53:46 another method Cory Taylor 2003-03-07 04:49:25 solution Charlie 2003-03-07 04:08:18

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