Question

A poker hand consists of five cards randomly dealt from a
standard deck of 52 cards. The order of the cards does not matter.
Determine the following probabilities for a 5-card poker hand.
Write your answers in percent form, rounded to 4 decimal
places.

Determine the *probability* that exactly 3 of these cards
are Aces.

Determine the *probability* that all five of these cards
are Spades.

Determine the *probability* that exactly 3 of these cards
are face cards.

Determine the *probability* of selecting exactly 2 Aces
and exactly 2 Kings

Determine the *probability* of selecting exactly 1
Jack.

Answer #1

A) A poker hand consists of five cards randomly dealt from a
standard deck of 52 cards. The order of the cards does not matter.
Determine the following probabilities for a 5-card poker hand.
Write your answers in percent form, rounded to 4 decimal
places.
Determine the probability that exactly 4 of these cards
are Aces.
Answer: %
Determine the probability that all five of these cards
are Spades.
Answer: %
Determine the probability that exactly 4 of these cards...

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).

3 )One is dealt 6 cards from a standard poker deck of 52
cards.
a)What is the probability of getting 3 aces and 3 kings?
b)What is the probability of getting the same except both pairs
kings and aces are of the same suit (e.g., the same suit is missing
from both).

1. A five-card poker hand is dealt from a standard deck of
cards. Find the probability that:
a. The hand contains exactly 3 Clubs and exactly 1
Spade.
b. The hand contains at least two aces
c. The hand contains all cards from the same suit
d. The hand contains three cards from one suit and two cards
from different suit
e. The hand contains no more than one spade

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...

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.

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?

1.A standard poker deck has 52 cards, in four suits (clubs,
diamonds, hears, spades) of thirteen denomination each (2, 3, ...,
10, Jack, Queen, King, Ace, in ascending order). A poker hand
consists of 5 unordered cards. a. How many different poker hands
are possible? (1 point)
b. When drawing 5 cards at random from a poker deck, what is the
probability of drawing two Hearts and a three Spades? (1 point)
2. Five students are to be sampled from...

Observe that a deck of poker cards consists of 4 aces, 12 face
cards (Jacks, Queens, and Kings), and 36 numbered cards (from 2s to
10s). If 10 cards are drawn from a deck of cards (with replacement
and reshufﬂing after each draw), what is the probability that:
(a) The 10 cards contain exactly 1 ace, 3 face cards, and 6
numbered cards?
(b) The 10 cards contain at least three cards of each type (i.e.
aces, face cards, numbered...

An experiment consists of dealing 4 cards from a standard
52-card deck. What is the probability of being dealt exactly 3 face
cards?

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