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While staying in a 15-story hotel, Polya plays the following game. She enters an elevator on the $6th$ floor. She flips a fair coin five times to determine her next five stops. Each time she flips heads, she goes up one floor. Each time she flips tails, she goes down one floor. What is the probability that each of her next five stops is on the $7th$ floor or higher? Express your answer as a common fraction.

 Jul 25, 2021
 #1
avatar+48 
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The answer is 1/2

 Jul 25, 2021
 #2
avatar+876 
+1

Guest, just because an answer was incorrect doesn't mean you can't see the flaw or the generic way of solving.

 Jul 25, 2021
 #3
avatar+118677 
+1

When reposting, you must include the address of the original post and ask people to answer there. 

(ask them to leave a post on the new thread saying they have done so.)

If it has been locked you can ask a moderator to unlock it for you. 

 Jul 26, 2021

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