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2. In a game of poker, you are dealt 5 cards. What is the probability that...
2. In a game of poker, you are dealt 5 cards. What is the probability that you will be dealt the worst hand: one that contains only a "high card" (no pairs, straights, etc.)? Note: The Wikipedia page for Poker Probability givers a mathematical expression for the number of ways this can happen, but it may not be obvious why that expression is correct. Give a detailed explanation. Round to at least 3 decimal places. (5 pts)
5. In a poker game, 5 cards are dealt from a standard 52 card deck that has been well shuffled. You are the only player in this scenario. (Note: if you are not familiar with poker hands, you may want to look up what some of these are online-also check out Chapter 23 in the textbook.) a) How many 5 card hands are possible? b) What is the probability that you are dealt two pairs? c) What is the probability...
Poker is a card game where you are dealt a 5 card hand from a standard deck of 52 cards. This deck has 4 suits and 13 cards per suit. The rarer your hand, the higher its worth. (a) What is the probability of getting a “Full House”? A Full House is a hand where 3 cards share the same number or face, and the other 2 cards also share a different number or face. (b) What is the probability...
In a game of Poker with a standard deck of 52 cards, a “full-house” is a 5-card hand that consists of a “3-of-a-kind” and a “2-of-a-kind.” Suppose you are dealt a 5-card hand. Find the probability of getting a full-house with 3-Aces and 2-Queens.
A six-card poker hand is dealt from a standard deck of 52 cards. Find the probability that has three cards of one suit, two cards of a second suit and one card of a third suit.
(1) Suppose you are to play a version of poker where you are dealt five cards and win only if you are dealt a three of kind. That is, you win only when your five card hand contains a triple of the same rank, and two other cards each of different ranks than each other and different than the triple (examples: AAA94, 55579). If you win, you will win S100. If you lose, you have to pay some amount of...
(10) 4. In a card game you are dealt with 7 cards per hand. What is the probability that your hand has only black cards? ae and
Question 2 [20 marks A casino is analysing a poker game where 3 cards are dealt to the table by the dealer and two to a player, from a standard deck of 52 cards. Suppose 2 of the 3 cards on the table are Hearts and the player is holding 2 Hearts in his hand. The dealer's next action is to deal two more cards from the deck to the table. The player is interested in getting a flush which...
R. Given a standard deck of 52 cards with 5 cards being dealt to a player. (a) Find the probability that the player's hand will have all 5 cards as spades. (4 marks) (b) Now find the probability that the player's hand is a flush. Note that a flush is a 5 card poker hand with all 5 cards being the same suit. (4 marks)
2. A hand of 5-card draw poker is a simple random sample from the standard deck of 52 cards. How many 5 draw poker hands are there? In 5-card stud poker, the cards are dealt sequentially and the order of appearance is important. How many 5-stud poker hands are there? 3. How many hands of 5-draw poker contain the ace of hearts? What is the probability that a 5-card draw hand contains the ace of hearts?