Question

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)

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...

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...

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...

Suppose you choose 5 cards from a standard 52-card deck (with 13
hearts, 13 spades, 13 clubs and 13 diamonds). How many different
choices of cards are possible if a. you can choose any 5 cards from
the deck? b. all 5 cards must be hearts? c. you must choose four
kings and one queen? d. you must choose 3 kings and no queens? e.
you must choose at least 1 king and at least 2 aces?

(i) In a bridge hand of 13 cards, what is the probability of
being dealt exactly two red cards? (ii) In a bridge hand of 13
cards, what is the probability of being dealt four spades, four
clubs, three hearts and two diamonds?

In a standard deck of 52 playing cards there are 4 suits: clubs,
diamonds, hearts, and spades. To play a game, four players are each
dealt 13 cards, one at a time, from the deck.
Identify the correct experiment,
trial, and outcome below:
Select all that apply:
The experiment is dealing a card.
The experiment is identifying whether a player
has been dealt a club, diamond, heart, or spade.
A trial is the dealing of one card.
The trial is...

Answer ASAP Probability and Stats
An ordinary deck of 52 cards consists of 4 suits (hearts,
diamonds, spades and clubs), each having 13 ranks (2, 3, ...,10, J,
Q, K, A). 5 cards are randomly selected from the deck (without
replacement). What is the probability that the outcome consists
of
(a) 5 hearts, or
(b) 3 diamonds and 2 spades, or
(c) cards from more than one suit.
In this question, there is no need to evaluate your expression
to...

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)

We are creating a new card game with a new deck. Unlike
the normal deck that has 13 ranks (Ace through King) and 4 Suits
(hearts, diamonds, spades, and clubs), our deck will be made up of
the following.
Each card will have:
i) One rank from 1 to 15.
ii) One of 5 different suits.
Hence, there are 75 cards in the deck with 15 ranks for each of the
5 different suits, and none of the cards will...

How many ways are there to arrange a deck of 52 cards so that
for each suit, all cards of that suit are together? Recall that we
have 13 ranks (Ace to King), and 4 suits (spades, hearts, diamonds
and clubs)

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