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...
Suppose you and a friend are playing cards and you are each
dealt 3 cards. You...
Suppose you and a friend are playing cards and you are each
dealt 3 cards. You have a 8 through 10 in your hand. You are about
to be dealt one more card. What is the probability that you are
dealt a Jack given that
(a) Your friend has no Jacks in his hand.
(b) Your friend has exactly one Jack in his hand.
Suppose you are playing Poker alone. You have four cards (6♡♡,
7♡♡, 8♡♡, and 9♡♡). You...
A standard deck of cards contains 4 suits (Hearts, Diamonds,
Spades, and Clubs) each containing 13...
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 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 deck of playing cards has 52 cards. There are four suits
(clubs, spades, hearts, and...
A deck of playing cards has 52 cards. There are four suits
(clubs, spades, hearts, and diamonds). Each suit has 13 cards.
Jacks, Queens, and Kings are called picture cards. Suppose you
select three cards from the deck without replacement.
a. Find the probability of getting a heart only on your second
card. Round answer to three decimal places
b Find the probability of selecting a Jack and a heart . Round
answer to three decimal places.
c. Find the...
Two cards are drawn without replacement from a standard deck of
52 playing cards. What is...
Two cards are drawn without replacement from a standard deck of
52 playing cards. What is the probability of choosing a face card
for the second card drawn, if the first card, drawn without
replacement, was a jack? Express your answer as a fraction or a
decimal number rounded to four decimal places.
A group of five friends are playing poker one night, and one of
the friends decides...
A group of five friends are playing poker one night, and one of
the friends decides to try out a new game. They are using a
standard 52-card deck. The dealer is going to deal the cards face
up. There will be a round of betting after everyone gets one card.
Another round of betting after each player gets a second card, etc.
Once a total of 7 cards have been dealt to each player, the player
with the best...
1. You are playing poker and are
dealt 7 cards (without replacement) from a standard 52...
1. You are playing poker and are
dealt 7 cards (without replacement) from a standard 52 card deck.
How many 7-card poker hands are possible? (Hint: order doesn’t
matter in poker, just the hand you are dealt).
a.)52P7 = 6.74E11 (Same as 6.74x 1011)
b.)52C7 = 133,784,560
c.)52! = 8.0658E67
d.)7x52 = 3640
2.)Outside of a home, there is a keypad that can be used to open
the garage door if the correct four digit code is entered. The key...