12. Cards: Suppose you and a friend are playing cards and you
are each dealt 4...
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.
Probabilities with a deck of cards. There are 52 cards in a
standard deck of cards....
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...
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).
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...
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);...
Three cards are dealt from a deck of 52 playing cards. Find the
probability that a...
Three cards are dealt from a deck of 52 playing cards. Find the
probability that a 3 card hand consists of: a. All hearts ( Answer
is P(13,3)) b. An Ace, King and Queen of the same suit (Answer is
P(4)) c. A pair of 2s (Answer is C(4,2) x C(48,1) Need help setting
up the problem