A standard deck of playing cards consists of 52 cards. Each card has a rank and a suit. There are 4 possible suits (spades, clubs, hearts, diamonds) with 13 cards each. Assume that the deck is perfectly shuffled (that is, all outcomes are equally likely).
What is the probability that a hand of 5 cards dealt from the deck contains only diamonds given that the first 3 cards in the hand are the ace of diamonds, the queen of diamonds, and the king of diamonds?
Please verify this..