Hosted by The Math Forum## Problem of the Week 1175## Best Full HouseYou and a few friends are playing stud poker (5 cards dealt, no exchanging of cards) with a standard 52-card deck. It's your lucky day and God tells you that you are guaranteed to end up with a full house, but only if you correctly choose the best full house. Which full house should you choose? This is indeed a mathematical question: Which full house has the highest probability of winning? Extra credit: Same story, but for the game of 5-card draw poker, where one can exchange any number of cards. If you are promised to end up with a full house, what would be the ideal cards to be dealt and exchanged so as to maximize the probability of winning? [I do not know the answer.] © Copyright 2014 Stan Wagon. Reproduced with permission. |

21 February 2014