Question

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
are face cards.

- Answer: %

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

- Answer: %

Determine the *probability* of selecting exactly 1
Jack.

- Answer: %

B)Jenelle draws one from a standard deck of 52 cards.

- Determine the probability of drawing either a jack or a
ten?

Write your answer as a reduced fraction.- Answer =

- Determine the probability of drawing either a jack or a
club?

Write your answer as a reduced fraction.- Answer =

c)The PTO is selling raffle tickets to raise money for classroom
supplies. A raffle ticket costs $4. There is 1 winning ticket out
of the 210 tickets sold. The winner gets a prize worth $94.
*Round your answers to the nearest cent.*

What is the expected value (to you) of one raffle ticket? $

Calculate the expected value (to you) if you purchase 8 raffle
tickets. $

What is the expected value (to the PTO) of one raffle ticket?
$

If the PTO sells all 210 raffle tickets, how much money can they
expect to raise for the classroom supplies? $

Answer #1

A)

1) probability that exactly 4 of these cards are
Aces=4C4*48C1/52C5 **= 0.000018 or 0.0018%**

2) *probability* that all five of these cards
are Spades. = 13C5/52C5 = 0.000495 or 0.0495%

3) *probability* that exactly 4 of these cards are face
cards = 12C4*40C1/52C5 = 0.007618 or 0.7618%

4) *probability* of selecting exactly 2 Aces and exactly
2 Kings = 4C2*4C2*44C1/52C1 = 0.000609 or 0.0609%

5) *probability* of selecting exactly 1 Jack =
4C1*48C4/52C5 = 29.9474%

B)

1) probability of drawing either a jack or a ten = (4+4)/52 = 8/52 = 2/13

2) probability of drawing either a jack or a club = (4+13-1)/52=16/52=4/13

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...

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

You deal 5 cards from a well-shuffled full deck. (note that
there are 52 cards in a full deck and among these, there are
exactly 4 aces and 4 kings (likewise 4 of each of the 13 ranks) in
the full deck) a) What is the probability that you get exactly 3
aces among the 5 cards? b) What is the probability that you get
exactly 2 kings among the 5 cards? c) What is the probability that
you get...

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...

he following question involves a standard deck of 52 playing
cards. In such a deck of cards there are four suits of 13 cards
each. The four suits are: hearts, diamonds, clubs, and spades. The
26 cards included in hearts and diamonds are red. The 26 cards
included in clubs and spades are black. The 13 cards in each suit
are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This
means there are four...

The following question involves a standard deck of 52 playing
cards. In such a deck of cards there are four suits of 13 cards
each. The four suits are: hearts, diamonds, clubs, and spades. The
26 cards included in hearts and diamonds are red. The 26 cards
included in clubs and spades are black. The 13 cards in each suit
are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This
means there are four...

The following question involves a standard deck of 52 playing
cards. In such a deck of cards there are four suits of 13 cards
each. The four suits are: hearts, diamonds, clubs, and spades. The
26 cards included in hearts and diamonds are red. The 26 cards
included in clubs and spades are black. The 13 cards in each suit
are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This
means there are four...

One card is randomly drawn from a standard deck of 52 cards as
shown in the figure below. Using the sample space for drawing a
single card from this deck, find the probability that the card is a
king or a black card. Give your answer as a reduced fraction.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 17 minutes ago

asked 19 minutes ago

asked 31 minutes ago

asked 38 minutes ago

asked 42 minutes ago

asked 45 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago