Playing five-card stud poker with two friends one night, one of them, Kevin, accidentaly drops one of his cards on the table, the ace of hearts. My other friend, Nick, laughs and says, "I also have at least one ace in my hand." I have no reason not to believe him. Now, I do not have any aces in my hand, but I do have a pair of kings. Which of my friends is more likely to have at least a pair of aces (that is to say, at least one more ace) in his hand?

(In reply to re: similarities to problem number... by Charlie)

I agree with Charlie.

If no one is bluffing and no cards are seen, then Kevin has a 15% chance of having two aces, while Nick only has a 8%.

Posted by ajosin on 2005-03-18 16:36:09