5.43 Drawing more cards A standard deck of poker playing cards contains four suits (clubs, diamonds, hearts, and spades) and 13 different cards of each suit. During a hand of poker, 5 of the 52 cards have been exposed. Of the exposed cards, 3 were diamonds. Tony will have the opportunity to draw two more cards, and he has surmised that to win the hand, each of those two cards will need to be diamonds. What is Tony’s probability of winning the hand?

(Assume the two unexposed cards are not diamonds.)