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   Author  Topic: Holidays in Bahamas  (Read 4518 times)
Altamira_64
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Holidays in Bahamas  
« on: Oct 10th, 2012, 11:55am »
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4 couples are going on holiday in Bahamas to a 5-star hotel. The receptionist gave them four consecutive rooms with numbers 1 to 4. The women went upstairs to choose rooms and stayed to one of the rooms each, while their husbands were having a drink at the bar. After some drinks, they decided to go upstairs to their rooms.  
"If we all go upstairs and start opening the 4 doors at random until we find our wife, what are the chances to get to the correct room with 2 attempts each?" asked the first man.
 
"This is easy", says the second. "Since we will open 2 out of 4 doors, each of us has 50% probability to locate his wife. So, in order for all four of us to make it, the probability is (1/2)^4, that is, 1/16."
 
"Wrong!" says the third. There is a way to get to the correct room with probability greater than 40% and without havng to communicate with our wives or between us, after the first of us goes upstairs."
 
What is the method he is suggesting?
« Last Edit: Oct 10th, 2012, 12:29pm by Altamira_64 » IP Logged
Altamira_64
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Re: Holidays in Bahamas  
« Reply #1 on: Oct 11th, 2012, 7:41am »
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Guys, silly question, how do you put this "NEW" flag next to the Riddle Subject??
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towr
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Re: Holidays in Bahamas  
« Reply #2 on: Oct 11th, 2012, 8:54am »
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Not?
Besides, I don't think it's new; I recall a very similar riddle with, I think lockers.
 
[edit] http://www.ocf.berkeley.edu/~wwu/cgi-bin/yabb/YaBB.cgi?board=riddles_har d;action=display;num=1138457723 [/edit]
« Last Edit: Oct 11th, 2012, 10:08am by towr » IP Logged

Wikipedia, Google, Mathworld, Integer sequence DB
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Re: Holidays in Bahamas  
« Reply #3 on: Oct 12th, 2012, 4:32am »
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on Oct 11th, 2012, 7:41am, Altamira_64 wrote:
Guys, silly question, how do you put this "NEW" flag next to the Riddle Subject??

 
Forum topics are flagged "new" when there's a post in the thread since the last time you viewed it.
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Altamira_64
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Re: Holidays in Bahamas  
« Reply #4 on: Oct 12th, 2012, 7:56am »
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OK, so indeed my question was silly  Embarassed
 
Thanks for clarifying!!
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