You are playing poker, and your hand currently holds 3 cards that all are aces. You are then drawing two more cards. What is the probability that you will get a full house (3 of one kind and two of another)?
probability that you will get a full house given first 3 cards are ace =P(first card is any card except ace from rest of 49 cards and second card is of same rank as of first from rest of 48 cards) =(48/49)*(3/48)=3/49 =0.061224
You are playing poker, and your hand currently holds 3 cards that all are aces. You...
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...
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 draw poker hand consists of 5 cards taken from a deck of 52 cards where the order of the cards is irrelevant. assuming you are playing with an honest deck, find the probability of each of the following hands. a.) A "four of a kind" (four cards of the same value and a "kicker" of any other value) b.) A "flush" (all five cards of the same suit) c.) An "ace-high straight" ( 10, J, Q, K, A of...
Consider a regular deck of cards with 52 cards in total. (1) How many ways can we have a poker hand of 5 cards? (2) Four of a kind is a poker hand that contains all four cards of one rank and any other (unmatched) card. For example, 94 949 9♡ JA is a "four of a kind”. How many ways can we have "four of a kind" ? (3) In a poker hand of 5 cards, what's 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 a king and a queen. What is the probability that your hand is a full house, given this information?
If a poker hand (five cards) is known to contain the aces of hearts, clubs, and diamonds, what is the probability that it contains the ace of spades?
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...
You have five cards in your (poker) hand, 3 of which are spades. That means there are 10 other spades and 37 non-spade cards out there. You get rid of your two non-spade cards and pick up two more. Use a tree diagram to find the chance that you pick up two more spades.
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3. (From Handout 3 - Slide 26). Poker: (a) How many 5 card hands may be dealt from a deck of 52 cards? (b) What is the probability of being dealt 3 of a kind in poker? (c) What is the probability of being dealt a full house in poker? (2 of one denomination and 3 of another)
Suppose you are dealt six cards from a well-shuffled standard playing deck (there are 13 kinds, and four of each kind, in the standard 52 card deck). (a) What is the probability of receiving 3 aces and 3 kings? (b) What is the probability of receiving 3 of one kind and 3 of another? (c) What is the probability of receiving 4 aces and 2 kings?(d) What is the probability of receiving 4 of one kind and 2 of another?