From an ordinary 52-card deck of playing cards, you have just been dealt the ace of diamonds and the king of hearts. What is the probability that the remaining three cards will complete a full house? Answer to the nearest 0.01%.
[A full house is a poker hand of three of a kind and a pair.]
Submit your answer to Gene Wirchenko <email@example.com>. Your answer should be in the form of a proof. That means to show how your answer must be correct. The deadline is Wednesday, February 28, 2018 at noon Pacific Time. I will post the answer shortly after.