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5. In the game of five-card stud, one card is dealit face down to each plaver an

ID: 3275697 • Letter: 5

Question

5. In the game of five-card stud, one card is dealit face down to each plaver and the re naining four cards are dealt face up. After two cards are dealt (one face down and one face up), the players bet. Players con bet after each additional card is dealt. Suppose that three cards have been dealt to each of the five plae the table. You currentiy have three clubs in your hand (all cards of the same suit). Of the cards dealt two clubs showing in other players' hands. There are 13 clubs in a standard 52 card deck continue to uan r are not known to you after thre cau b. Of the cards unknown to you, how many are clubs? s?147 a. How many cards are not known to you after three cards have been dealt? ?S del- 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? Extra credit: 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 ar e dealt except to you. Based on this probablity, should you stay in the hand?

Explanation / Answer

Player 1(Me) has 3 clubs

Player 2,3,4,5, have 2 clubs out of the 2*4 =8 cards that can be seen

a. 4 (Face down cards in the hand of 4 the players ) + 52-15 (cards in the hands of the dealer) = 41 cards are not known to me.

b.13(total clubs)-5(3 mine 2 others) = 8 clubs are still in the unknown cards

c.P(next card ie.4th is a clubs) = 8/41

Assuming no no other clubs are delt except me total cards left after 4th round are 41-5=36

total clubs left are 8-1=7

hence prob is 7/36

Total pron is

8/41*7/36= 0.038 the prob is very low hence I would not stay in the hand for all 5 clubs

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