Consider a regular deck of cards with 52 cards in total. (1) How many ways can...
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.
1. Probabilities of Poker Hands These questions refer to a standard deck of 52 cards having 4 suits , A, 0,♡ and 13 ranks 2,3,4,5,6,7,8,9,10,J,Q,K, A. You are dealt a 5-card hand from such a deck (so there are (53) possible hands, each one is equally likely). 1. A flush is a hand consisting of 5 cards that all have the same suit. For example {24,54, 104, JA, A$} is a flush. What is the probability that your hand is...
3. Cards a. A standard deck of cards has 52 cards, each with a suit and value. There are four suits and 13 values. A hand of cards in poker is a selection 5 cards without replacement. The order of selection does not matter. How many possible hands of cards are there? (We did this in class.) In a standard poker hand, what is the probability of having at least once Ace in the hand? There are four cards with...
A standard poker deck of 52 cards has four suits, (symbols C, H, S, and D) and thirteen ranks (symbols A, 2, 3, 4, 5, 6, 7, 8, 9, T, J, Q, and K). Every card in the deck has both a value and a suit.1 A poker hand is any set of 5 cards from the standard poker deck. There are some special hands in poker, and these have ranks (i.e. some are better, some are worse). From best...
1. In a standard five-card draw poker, each player receives 5 cards from a standard deck of 52 cards. Some possible hands in this game are su d in Table 1 below1 (a) Create a sample space to describe all possible hands Bill can play with Let E be the event that the hand contains at least two cards of the same rank and F be the event that the hand contains at least three cards of the same rank...
discrete structure Recall that a standard deck of 52 cards has 4 suits (hearts, diamonds, spades, and clubs), each of which has 13 ranks: 2-10, Jack, Queen, King, and Ace (in order from lowest to highest). Order of cards in a hand does not matter (a) (10 points) A full house is 3 cards of one rank and 2 of another rank. How many full houses are there in a 5-card hand if either the pair or the 3 of...
In poker, there is a 52 card deck with 4 cards each of each of 13 face values. A full house is a hand of 5 cards with 3 of one face value, and 2 of another. Say you have been dealt your hand two cards up, three cards down, and the two cards you see are a king and a queen. What is the probability that your hand is a full house, given this information?
Problem 6. (20 pts) By definition, a poker hand is a set of 5 cards from a standard French deck of 52 cards1. Solve the following two problems (a) A poker hand is said to be a four of a kind if it has four cards with the same value. For instance, four sevens, four Queens or four Aces. Compute the prob- ability of drawing a four of a kind hand. (b) A poker hand is said to be a...
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...
In poker, there is a 52 card deck with 4 cards each of each of 13 face values. A full house is a hand of 5 cards with 3 of one face value, and 2 of another. Say you have been dealt your hand two cards up, three cards down, and the two cards you see are both 10’s. What is the probability that your hand is a full house, given this information? (It should read: "two cards up, three...