Question

You are considering playing a new carnival game. In this game you draw a single card...

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.

Homework Answers

Answer #1

We need to use the definition of expected value and its property.

The expected payoff is, - 0.2885

This means, it is expected that the player will loose 0.2885

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
You are considering playing a new carnival game. In this game you draw a single card...
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...
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...
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...
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...
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...
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...
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...
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...
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...
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT