on three rolls of a single die you will lose $16 if a 2 turns up...

Question

Question

on three rolls of a single die you will lose $16 if a 2 turns up at least once and you will win $8 otherwise. What is the expected value of the game?

math Statistics-And-Probability

Answer 1

Answer #1

Answer 2

Similar Homework Help Questions

On three rolls of a single die, you will lose $10 if a 5 turns up...

On three rolls of a single die, you will lose $10 if a 5 turns up at least once, and you will win $7 otherwise. What is the expected value of the game?
You and a friend are playing a game. You alternate turns rolling a single die, and...

You and a friend are playing a game. You alternate turns rolling a single die, and the first person to roll a 1 or a 2 wins. Your friend goes first. a. What’s the probability that the game ends in three rolls or fewer? b. What’s the expected number of rolls? c. What’s the probability that your friend wins?
An unfair coin is flipped. If a head turns up, you win $1. If a tail...

An unfair coin is flipped. If a head turns up, you win $1. If a tail turns up, you lose $1. The probability of a head is .61 and the probability of a tail is .39 Let X be the random variable for the amount won on a single play of this game. What is the expected value of the game?

In a dice game, you roll a fair die three times, independently. If you don’t roll...

In a dice game, you roll a fair die three times, independently. If you don’t roll any sixes, you lose 1 dollar. If you roll a six exactly once, you win one dollar. If you roll a six exactly twice, you win two dollars. If you roll a six all three times, you win k dollars. (A) Let k = 3. What is the expected value of the amount you would win by playing this game (rounded to the nearest...
An unfair coin is flipped. If a head turns up, you win $1. If a tail...

An unfair coin is flipped. If a head turns up, you win $1. If a tail turns up, you lose $1. The probability of a head is.36 and the probability of a tail is .64. Let X be the random variable for the amount won on a single play of this game. What is the expected value of the game? E(X)= dollars (Type an integer or a decimal. Round to the nearest cent as needed.)
You roll a die. If it comes up a 2 or 3, you win $300 If...

You roll a die. If it comes up a 2 or 3, you win $300 If not, you get to roll again. If you get a 2 or 3 the second time, you win $150 If not, you lose. a) Create a probability model for the amount you win. b) Find the expected amount you'll win. c) What should you be willing to pay to play this game?

o An unfair coin is flipped. If a head turns up, you win 31.a tallume up...

o An unfair coin is flipped. If a head turns up, you win 31.a tallume up you lose 31. The probably of head and the probably of a tall is 47. Lot X be the random variable for the amount won on a single play of this game. What is the expected of the game EX)-dollars (Type an integer or a decimal Round to the nearestent as needed)
in a game, you toss a fair coin and a fair six sided die. if you...

in a game, you toss a fair coin and a fair six sided die. if you toss a heads on the coin and roll either a 3 or a 6 on the die, you win $30. otherwise, you lose $6. what is the expected profit of one round of this game
We are going to play a game of chance. We will roll a die (half of...

We are going to play a game of chance. We will roll a die (half of a pair of dice) and if it comes up with one or two spots showing, you win and I will pay you $1.50. If it comes up with three, four, five, or six spots showing, you lose and you will pay me $1.20. So, the probability that you will win is 1/3 and the probability you will lose is 2/3. Your financial benefit will...

• Use the binomial distribution to determine which of the following three games has the highest...

• Use the binomial distribution to determine which of the following three games has the highest probability of winning. What is the minimum rational price you should charge to play this game if you must pay a winner $5.00? Game 1: throw a single die 6 times. You win if you roll a 1 at least once. Game 2: throw a single die 12 times. You win if you roll a 1 at least twice. Game 3: throw a single...