Question

A
magician shuffles a standard deck of playing cards and allows an
audience member to pull out a card, look at it, and replace it in
the deck. Three additional people do the same. find the probability
that of the four cards drawn at least one is a face card.(Round to
one decimal place)

The answer is not 0.5478, its say that the answer is wrong
when I put it in.

Answer #1

Since in a deck of cards there is 12 face cards

And this experiment is done with 4 peoples

And it's with replacement as explained in the question

So there is equal chance of getting face card for each one

So probability of getting face card=12÷52=3÷13=3/13

So probability of getting at least one face card so

Here one of them gets face card in 4 ways

2of them gets face card in 6 ways

3 of them gets face card in 4 ways

All gets face card in 1 way

So

Required oprobabilit=4*(3/13)*(10/13)*(10/13)*(10/13)+6*(3/13)*(3/13)*(10/13)*(10/13)+3*(3/13)*(3/13)*(3/13)*(10/13)+(3/13)*(3/13)*(3/13)*(3/13)

=0.4201+0.1891+0.0378+0.0028=0.6498

A
magician shuffles a standard deck of playing cards and allows an
audience member to pull out a card look at it and replace it in the
deck. three additional people do the same. Find the probability
that of the 4 cards drawn, at least 1 is a face card (round your
answer to one decimal place)

In
a standard 52 card deck of playing cards, each card has one of four
suits: spades, heart, club, or diamond. There are 13 cards of each
suit. Alison thoroughly shuffles a standard deck, draws a card,
then returns it to the deck, and shuffles again. She repeats this
process until she has drawn 9 cards. Find the probability that she
draws at most 3 spade cards, Use Excel to find the
probability.

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.

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...

If one card is drawn from a standard deck of 52 playing cards,
what is the probability of drawing a number card (Ace, 2-10)?

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...

A card is drawn at random from a standard deck of playing cards
(no jokers). If it is red, the player wins 1 dollar; if it is
black, the player loses 2 dollars. Find the expected value of the
game. Express your answer in fraction form.

An ordinary deck of playing cards (containing 52 standard cards)
is randomly divided into two parts, each containing at least one
card.
(a) What is the probability that each part contains at least one
ace.
(b) Find the probability that each part contains exactly two
aces.

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...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 13 minutes ago

asked 18 minutes ago

asked 20 minutes ago

asked 22 minutes ago

asked 26 minutes ago

asked 28 minutes ago

asked 35 minutes ago

asked 37 minutes ago

asked 37 minutes ago

asked 47 minutes ago

asked 48 minutes ago

asked 57 minutes ago