Difference between revisions of "Probably blackjack"

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(Created page with 'This is a classic probability puzzle. I just made up the story. ==Puzzle== You are playing Blackjack and are lucky enough to have a psychic parrot on your shoulder. You are d...')
 
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==Puzzle==
 
==Puzzle==
  
You are playing Blackjack and are lucky enough to have a psychic parrot on your shoulder.  You are dealt three hands, both cards in each hand face down.  Because you have the help of the psychic parrot, you are only allowed to turn over one of the six cards.  The parrot tells you that on of the hands contains two aces, one contains two jacks, and the other contains a blackjack (and ace and an jack).  You turn over one of the cards and see it is an ace.  What is the probability that that hand is in fact a blackjack?
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You are playing Blackjack and are lucky enough to have a psychic parrot on your shoulder.  You are dealt three hands of two cards each, all of them face down.  Because you have the help of the psychic parrot, you are only allowed to turn over one of the six cards.  The parrot tells you that one hand contains two aces, one contains two jacks, and one contains an ace and a jack (a blackjack).  You turn over one of the cards and see that it's an ace.  What is the probability that that hand is the blackjack?
  
 
==References==
 
==References==

Current revision as of 02:09, 22 October 2010

This is a classic probability puzzle. I just made up the story.

Puzzle

You are playing Blackjack and are lucky enough to have a psychic parrot on your shoulder. You are dealt three hands of two cards each, all of them face down. Because you have the help of the psychic parrot, you are only allowed to turn over one of the six cards. The parrot tells you that one hand contains two aces, one contains two jacks, and one contains an ace and a jack (a blackjack). You turn over one of the cards and see that it's an ace. What is the probability that that hand is the blackjack?

References

I got the idea for this one from The Riddle of Scheherazade: And Other Amazing Puzzles by Raymond Smullyan.