5 cards are randomly selected from a standard deck of 52
cards to form a poker...
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).
Part A Poker Hands: In this activity, we will apply some of the
various counting techniques...
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);...
5. In poker, a “flush” is a five-card hand where all five cards
have the same...
5. In poker, a “flush” is a five-card hand where all five cards
have the same suit. A hand has “three of a kind” when any three
cards have the same rank. “Four of a kind” is defined analogously.
A flush beats a three of a kind, but is beaten by four of a kind.
Demonstrate that this ranking of hands corresponds to how unlikely
each hand type is to occur when drawing five cards at random (Hint:
just count...
Suppose you are playing a game of five-card poker where you are
dealt a hand of...
Suppose you are playing a game of five-card poker where you are
dealt a hand of 5 cards from a standard deck of 52 playing cards.
Each card has one of 13 values, 2,3,…,10,J,Q,K,A2,3,…,10,J,Q,K,A,
and one of 4 suits, ♡,♢,♠,♣♡,♢,♠,♣
A hand called a royal flush consists of cards of
the values 10,J,Q,K,A10,J,Q,K,A, all from the same suit. For
instance, a royal flush with hearts would be
10♡,J♡,Q♡,K♡,A♡10♡,J♡,Q♡,K♡,A♡.
Now, actually getting a royal flush in poker is incredibly rare (in...
A sequence is a hand consisting of five consecutive cards of any
suit(e.g., 5♥−6♥−7♠−8♦−9♣). An ace...
A sequence is a hand consisting of five consecutive cards of any
suit(e.g., 5♥−6♥−7♠−8♦−9♣). An ace may be either high (as
in10-J-Q-K-A, or low, as in A-2-3-4-5, but can’t “wrap around”
(Q-K-A-2-3 is not a valid sequence). How many different sequence
hands are possible?
(b) How many hands consist of cards that are all of the same
suit?(
c) A straight flush has both of these properties – a sequence
all of the same suit. How many different straight flushes...
. Consider 5-card hands from a standard 52-card deck of cards
(and consider hands as sets,...
. Consider 5-card hands from a standard 52-card deck of cards
(and consider hands as sets, so that the same cards in different
orders are the same hand). In your answers to following questions
you may use binomial coefficients and/or factorials. (Recall that
there are 4 Aces, 4 Kings, and 4 Queens in the deck of cards)
a) How many different 5-card hands are there?
b) How many hands are there with no Aces?
c) How many hands are there...
Five cards are selected from a 52-card deck for a poker hand. a.
How many simple...
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.