Question

Assume you are dealt the following hand in poker: K of hearts, Q of hearts, 10 of spades, 3 hearts, 7 clubs. If you keep the King of hearts, the Queen of hearts and the 10 of spades, find:

P(Straight)…be sure to consider both 9-King and 10-Ace.

as far as how many cards are left to be selected from, assume there are 47 ( that is, don't consider the cards in other players hands)

Answer #1

Probabilities with a deck of cards. There are 52 cards in a
standard deck of cards. There are 4 suits (Clubs, Hearts, Diamonds,
and Spades) and there are 13 cards in each suit. Clubs/Spades are
black, Hearts/Diamonds are red. There are 12 face cards. Face cards
are those with a Jack (J), King (K), or Queen (Q) on them. For this
question, we will consider the Ace (A) card to be a number card
(i.e., number 1). Then for each...

In a game of Texas Hold ’em poker you have a two of hearts and a
six of spades. Your opponent has a 4 of clubs and a ten of clubs.
The flop shows 3 of clubs, queen of clubs, and jack of diamonds.
There are two cards left. Is it more likely you get a straight, or
your opponent gets a flush, and what is the chance of each?

in a game of hearts . the entire deck of cards is
dealt. if you have a hand with 13 cards. in how many ways could the
hand contain
a) atleast 10 hearts
b) 5 clubs and 5 spades
c)3 diamonds
e) exactly 5 clubs and no spades or exactly 5 spades and no clubs ?
read as exactly 5 clubs and no spades or exactly 5 spades and no
clubs)

A standard deck of cards contains 4 suits (Hearts, Diamonds,
Spades, and Clubs) each containing 13 ranks (Ace, 2, 3, 4, 5, 6, 7,
8, 9, 10, Jack, Queen, King) for a total of 52 cards.
In a typical game of poker, you are dealt five cards (without
replacement) from a deck of 52 cards. How many Full Houses are
possible?
(A full house is a hand consisting of three of one rank and two
of another. For instance, three...

How many possible 5-card poker hands are there that
have exactly 3 jacks? Reminder: card decks have 52 total cards.
There are 13 possible denominations of card (Ace, 2, 3, ..., 10,
jack, queen, king) and 4 possible suits (clubs, diamonds, hearts,
spades).

Part A Poker Hands: In this activity, we will apply some of the
various counting techniques that we have studied including the
product and sum rules, the principle of inclusion-exclusion,
permutations, and combinations. Our application will be counting
the number of ways to be dealt various hands in poker, and
analyzing the results.
First, if you are not familiar with poker the following is some
basic information. These are the possible 5-card
hands:
Royal Flush (A,K,Q,J,10 of the same suit);...

1.A standard poker deck has 52 cards, in four suits (clubs,
diamonds, hears, spades) of thirteen denomination each (2, 3, ...,
10, Jack, Queen, King, Ace, in ascending order). A poker hand
consists of 5 unordered cards. a. How many different poker hands
are possible? (1 point)
b. When drawing 5 cards at random from a poker deck, what is the
probability of drawing two Hearts and a three Spades? (1 point)
2. Five students are to be sampled from...

A deck of cards consists of 4 suits (clubs, spades, diamonds,
hearts), each suit consisting of 13 values (ace, 2, 3, 4, 5, 6, 7,
8, 9, jack, queen, king). Four people are playing a game of cards
and they are each dealt 13 cards randomly. We say that each person
is dealt a hand of 13 cards. A suit distribution for a particular
hand is a set of four integers, adding up to 13. How many possible
hands are...

5 cards are randomly selected from a standard deck of 52
cards to form a poker hand. Determine the probability of being
dealt a straight flush (five cards in sequence in the same suit but
not a royal flush. Note: A royal flush is 10, Jack, Queen, King,
Ace all in the same suit. Note: Aces can be high or
low).

12. Cards: Suppose you and a friend are playing cards and you
are each dealt 4 cards. You have a 10, Jack, Queen, and King in
your hand. You are about to dealt one more card. What is the
probability that you are dealt an Ace given that
a. Your friend has no Aces in his hand.
b. Your friend has exactly one ace in his hand.

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