Question

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 Aces, four Kings, four Queens, four 10s, etc.,
down to four 2s in each deck.

You draw two cards from a standard deck of 52 cards without
replacing the first one before drawing the second.

(a)

Are the outcomes on the two cards independent? Why?

No. The events cannot occur together. Yes. The events can occur together. No. The probability of drawing a specific second card depends on the identity of the first card. Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card.

(b)

Find *P*(ace on 1st card *and* king on 2nd).
(Enter your answer as a fraction.)

(c)

Find *P*(king on 1st card *and* ace on 2nd).
(Enter your answer as a fraction.)

(d)

Find the probability of drawing an ace *and* a king in
either order. (Enter your answer as a fraction.)

Answer #1

**Solution:-**

**a) No. The probability of drawing a specific second card
depends on the identity of the first card.**

**b) P(Ace, King)
**

Probability of drawing ace on first draw = 4/52

Probability of drawing King on second draw = 4/51

c) **P(King, Ace)
**

Probability of drawing King on first draw = 4/52

Probability of drawing Ace on second draw = 4/51

**d) The probability of drawing an ace and a king
in either order is
**

**The probability of drawing an ace and a king in
either order
**

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...

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...

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...

You draw two cards from a standard deck of 52 cards without
replacing the first one before drawing the second.
(a) Are the outcomes on the two cards independent? Why?
Yes. The probability of drawing a specific second card is the
same regardless of the identity of the first drawn card.Yes. The
events can occur together. No. The events
cannot occur together.No. The probability of drawing a specific
second card depends on the identity of the first card.
(b) Find P(3...

How many ways are there to arrange a deck of 52 cards so that
for each suit, all cards of that suit are together? Recall that we
have 13 ranks (Ace to King), and 4 suits (spades, hearts, diamonds
and clubs)

A deck of playing cards contains 52 cards consisting of 13
hearts 13 diamonds 13 clubs and 13 spades
If one card is selected at random find the probability that it
is an ace
( round 3 decimals )
If one card is selected at randomfind the probability it is a
diamond
( round 3 decimals)
If one card is selected at random find the probability it is an
ace or a diamond
( round 3 decimals )
If two...

As shown above, a classic deck of cards is made up of 52 cards,
26 are black, 26 are red. Each color is split into two suits of 13
cards each (clubs and spades are black and hearts and diamonds are
red). Each suit is split into 13 individual cards (Ace, 2-10, Jack,
Queen, and King).
If you select a card at random, what is the probability of getting:
(Round to 4 decimal places where possible)
a) A 9 of...

In a standard deck of 52 playing cards there are 4 suits: clubs,
diamonds, hearts, and spades. To play a game, four players are each
dealt 13 cards, one at a time, from the deck.
Identify the correct experiment,
trial, and outcome below:
Select all that apply:
The experiment is dealing a card.
The experiment is identifying whether a player
has been dealt a club, diamond, heart, or spade.
A trial is the dealing of one card.
The trial is...

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...

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 9 minutes ago

asked 15 minutes ago

asked 30 minutes ago

asked 40 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago