How many possible 5-card poker hands are there that
have exactly 3 jacks? Reminder: card decks...
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).
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...
Determine the probability that a poker hand (of 5 cards) is
three of a kind.
Three...
Determine the probability that a poker hand (of 5 cards) is
three of a kind.
Three of a kind means that there are exactly three cards of the
same face value (2,3,4,5,6,7,8,9,10,J,Q,K, or A), and two other
cards with different face values.
. 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...
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);...