Question

You are considering playing a new carnival game. In this game you draw a single card at random from a standard 52-card deck. If you draw a King or Queen you win $6. If you draw a Jack, you win $4. If you draw the Ace of Spades you win $25. It cost $2 to play the game one time. What is the expected payoff from playing this game? Give your answer rounded to the nearest cent.

Answer #1

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You are considering playing a new carnival game. In this game
you draw a single card at random from a standard 52-card deck. If
you draw a King or Queen you win $6. If you draw a Jack, you win
$4. If you draw the Ace of Spades you win $25. It cost $2 to play
the game one time. What is the expected payoff from playing this
game? Give your answer rounded to the nearest cent.

There is a game at the local carnival where you pay $1 for a
chance to draw one card from a standard deck. If you draw an ace,
you win $3.50 and if you draw a face card, you win $2. Otherwise
you don’t win anything. Find the expected value to you for this
game. Explain why it is or is not a good idea to play this
game.

At a casino, there is a game where you draw a card from a
standard deck of 52 cards. If you get a black card, you win
nothing. If you get a heart, you win $5. If you get a diamond, you
win $10. There is an additional $20 bonus for the King of
diamonds.
a) Create a PDF for a variable X, which represents the amount of
money you can win by playing this game.
b) What is the...

Suppose you are about to draw two cards at a random from a deck
of playing cards. Note that
there are 52 cards in a deck. Find the following
probabilities.
a. What is the probability of getting a Jack and then a King
(with replacement)?
b. What is the probability of getting a Heart or Jack and then a
2 (with replacement)?
c. What is the probability of getting an Ace and then a Queen
(without replacement)?
d. What is...

A card is drawn from a standard 52-card deck. If the card is a
king, you win
$2020;
otherwise, you lose
$11.
What is the expected value of the game?
Let X be the random variable for the amount won on a single play
of this game.

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.

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 randomly from a deck of ordinary playing cards.
You win $10 if the card is a spade or an ace. What is the
probability that you will win the game (and $10)?
1/13
13/52
16/52
17/52
None of the above

Consider the following card game with a well-shuffled deck of
cards. If you draw a red card, you don't win. If you get a space
you win $1. If you draw a club, you win $3, if you draw the ace of
clubs you win $30.
a. Create a probability model for the amount you win at this
game.
b. Find the expected value for winning a single
game.
c. Find the standard deviation of the winnings.
d. Now suppose...

Consider the experiment of selecting a playing card from a deck
of playing cards. Each card corresponds to a sample point with a
probability.
a. How many sample points are there in the event that a king is
selected?
b. How many sample points are there in the event that a spade is
selected?
c. How many sample points are there in the event that a face
card ( jack, queen, or king) is selected?
d. Find the probabilities associated...

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