Question

What is the probability that the three cards dealt are, in
order, an ace, a face card, and a 2? (A face card is a jack, queen,
or king.)

Answer #1

We know that the probability is defined as

The total number of cards = 52

The number of ace cards = 4, then the corresponding probability of drawing an ace card is

The number of face cards = 4, then the corresponding probability of drawing a face card is

The number of 2's = 4, then the corresponding probability of drawing a 2 is

The probability of drawing 3 cards in order (Without Replacement of drawing Ace, Face and number 2 cards) is

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.

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

3.Blackjack:from a standard deck of 52 cards you are dealt
2.
a.What is n(S)?
b.There are 4 different aces and 4 different tens in a standard
deck. What is the probability of getting an ace and a
ten(unordered)?
c.The (ace, ten) combination is considered a total of 21 points,
but so is (ace,jack), (ace,queen), and (ace, king). What is the
probability of getting 21 points?
d.What is the probability of 21 points given that one card is an
ace (possibly...

Assume you are playing with a single standard deck of 52 cards.
What is the probability of being dealt Blackjack (exactly 21 in 2
cards)? To get exactly 21, you need one Ace and you need either a
10, Jack, Queen, or King.

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...

Two cards are dealt from a standard deck of 52 cards. Find the
probability of getting:
(a) A face card, followed by the ace of spades?
(b) At least one red card?

Question 8: Consider a complete deck of 52 cards, not including
Jokers.
In such, an Ace=1, a King=13, a Queen=12 and a
Jack=11. All other cards are equal to face value. Assume that the
value of a card drawn from the deck is a random variable, X.
a. What is the probability distribution of X?
b. What is the mean of X?
c. What is the variance of X?
d. What is the standard deviation of X?

Seven cards are dealt from a deck of 52 cards.
(a) What is the probability that the ace of spades is one of
the 7 cards?
(b) Suppose one of the 7 cards is chosen at random and found
not to be the ace of spades. What is the probability that none of
the 7 cards is the ace of spades?
(c) Suppose the experiment in part (b) is repeated a total of
10 times (replacing the card looked at...

In
a card came with all 52 cards dealt to 4 players (each player has
13 cards.) What is the probability that 1 player was dealt both the
king and queen of hearts?

Five cards are dealt from a standard 52-card deck. What is the
probability that the sum of the faces on the five cards is 48 or
more? In this case, Jacks, Queens, and Kings count as 0s. So only
the number cards Ace (=1) to 10 have numeric face value.

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