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

Question

In the game of five -card stud, one card is dealt face down to each player and remaining four cards are dealt face up. After two cards are delt (one face down and one face up), the players bet. Players continue to bet after each additional card is delt. Suppose that three cards have been dealt to each of the five players at the table. You currently have three clubs in your hands (all cards of the same suit). Of the cards dealt, there are two clubs showing in other players' hands. Three 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?

Explanation / Answer

a) you know 3 of your card and 2*4 =8 face up cards of other four player

therefore total known cards =8+3=11

hence total unknown cards =52-11 =41

b) as you know 3 club in your hand and 2 clubs showing in other players' hands ; therefore total unknown clubs to you 13-3-2=8

c) probability that next card will be club =favourable outcome/total outcome =8/41

please revert for any clarifcation required.

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