In the game of five-card stud, one card is dealt face down to each player and th

Question

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 cars 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 care. What is the probablity that your next cared will be a club?

d. Prior to the fourth or fifth 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. Based on this probability, should you stay in the hand?

Explanation / Answer

a)

one card is face down and remaining four cards of each player are face up so 16 cards of others and 5 cards of himself are known to him so a total of 21 cards are known . But according to the question only 3 cards are dealt for each player where 4 are unknown and 8 of others+ 3 of himself are known ie., total of 11 are known to him.Therefore out of 15 cards dealt 4 are unknown

b)

Since there are 5 players playing this game, there are 25 cards dealt.

Since, there are 3 cards dealt to each player, (1 face down and 2 face up), only 2 * 5 = 10 cards are known.

Rest of the cards are unknown.

Of the cards unknown, there are 8 clubs remaining...

c)

probability of club = 8 / 42

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