Question

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 suit, there are 10 number cards.

(a). What is the probability of drawing a red King, then a black Jack, followed by a red number card without replacement?

(b). In a poker game, a royal flush is a hand consisting of the cards A, K, Q, J, 10 of the same suit. Two players A and B are playing poker with a deck of cards. First, A is dealt a hand (i.e. 5 cards) from the deck without replacement. Then B is dealt a hand (i.e., 5 cards) from the remaining deck without replacement. What is the conditional probability that B also gets a royal flush given that A has a royal flush?

Answer #1

Here is a table showing all
52
cards in a standard deck.
Face cards
Color
Suit
Ace
Two
Three
Four
Five
Six
Seven
Eight
Nine
Ten
Jack
Queen
King
Red
Hearts
A
♥
2
♥
3
♥
4
♥
5
♥
6
♥
7
♥
8
♥
9
♥
10
♥
J
♥
Q
♥
K
♥
Red
Diamonds
A
♦
2
♦
3
♦
4
♦
5
♦
6
♦
7
♦
8
♦
9
♦
10
♦
J...

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).

he following question involves a standard deck of 52 playing
cards. In such a deck of cards there are four suits of 13 cards
each. The four suits are: hearts, diamonds, clubs, and spades. The
26 cards included in hearts and diamonds are red. The 26 cards
included in clubs and spades are black. The 13 cards in each suit
are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This
means there are four...

Determine the poker odds of drawing the following hand from a
standard card deck. (4 suits, 13 ranks in each suit.) What are the
odds of drawing a royal flush (AKQJ10 all of the same suit)?
Drawing cards is WITHOUT replacement. (NOTE: If necessary, lay out
52 cards on a table and do a dry run before computing the
probabilities!) In order to get a royal flush in spades, you must
pick the following 5 cards:
What is the probability...

As shown above, a classic deck of cards is made up of 52 cards,
26 are black, 26 are red. Each color is split into two suits of 13
cards each (clubs and spades are black and hearts and diamonds are
red). Each suit is split into 13 individual cards (Ace, 2-10, Jack,
Queen, and King).
If you select a card at random, what is the probability of getting:
(Round to 4 decimal places where possible)
a) A 9 of...

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);...

As shown above, a classic deck of cards is made up of 52 cards,
26 are black, 26 are red. Each color is split into two suits of 13
cards each (clubs and spades are black and hearts and diamonds are
red). Each suit is split into 13 individual cards (Ace, 2-10, Jack,
Queen, and King).
If you select a card at random, what is the probability of
getting:
1) A(n) 8 of Heart s?
2) A Club or Spade?...

The following question involves a standard deck of 52 playing
cards. In such a deck of cards there are four suits of 13 cards
each. The four suits are: hearts, diamonds, clubs, and spades. The
26 cards included in hearts and diamonds are red. The 26 cards
included in clubs and spades are black. The 13 cards in each suit
are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This
means there are four...

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...

Five cards are selected from a 52-card deck for a poker hand. a.
How many simple events are in the sample space? b. A royal flush is
a hand that contains the A, K, Q, J, and 10, all in the same suit.
How many ways are there to get a royal flush? c. What is the
probability of being dealt a royal flush? Please, please, please
explain and not just give the answer or formula.

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