In the game of five-card stud, one card is dealt face down to each player and the remaining four cards are dealt face up. After two cards are dealt (one face down and one face up), the players bet. Players continue to bet after each additional card is dealt. Suppose that three cards have been dealt to each of the five players at the table. You currently have three clubs in your hand (all cards of the same suit). Of the cards dealt, there are two clubs showing in other players' hands. There are 13 clubs in a standard 52 card deck.
a. How many cards are not known to you after three cards have been dealt?
b. Of the cards unknown to you, how many are clubs?
c. You are seated to the dealer's left and you will be dealt the next card. What is the probability that your next card will be a club?
d. Prior to the third or fourth cards being dealt, what is the probability you will be dealt two clubs in a row? Assume no other clubs are dealt except to you. Base on this robaiblity, should you stay in the hand?