Question

Consider the following game. You roll two fair dice. If you roll a sum of 8,...

Consider the following game. You roll two fair dice. If you roll a sum of 8, you win $9. Otherwise, you lose $1. Find the expected value (to you) of the game.

A) $0.39

B) $1.25

C) $0.09

D) $0.00

E) -$0.50

Homework Answers

Answer #1

Thank You ?

Please thumbs up!

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
The following game is played in a casino. The participant would roll two fair dice and...
The following game is played in a casino. The participant would roll two fair dice and if they sum to 8 or higher, the participant wins 4$ otherwise they lose 3$. What is the expected payout the casino will make as each game is played?
Consider rolling two fair six-sided dice. a) Given that the roll resulted in sum of 8,...
Consider rolling two fair six-sided dice. a) Given that the roll resulted in sum of 8, find the conditional probability that first die roll is 6. b) Given that the roll resulted in sum of 4 or less, find the conditional probability that doubles are rolled. c) Given that the two dice land on different numbers, find the conditional probability that at least one die is a 6.
A pair of fair dice is rolled once. Suppose that you lose $9 if the dice...
A pair of fair dice is rolled once. Suppose that you lose $9 if the dice sum to 3 and win $11 if the dice sum to 4 or 8. How mych should you win or lose if any other number turns up in order for the game to be fair?
1) A dice game involves rolling 2 dice. If a 2, 3, 4, 10, 11, or...
1) A dice game involves rolling 2 dice. If a 2, 3, 4, 10, 11, or 12 (the sum of the two) is rolled, you win $5.00. If you roll a 5, 6, 7, 8, or 9 you lose $5.00. Find the expected value per play. Please explain the work in detail
A game consists of rolling two dice. The game costs $2 to play. You roll a...
A game consists of rolling two dice. The game costs $2 to play. You roll a two dice. If the outcome totals 9 you get $10. Otherwise, you lose your $2. Should you play the game? Explain using probability.
I propose to you a game. You roll 2 dice. If the sum of the numbers...
I propose to you a game. You roll 2 dice. If the sum of the numbers showing is either 6, or 7, or 8, I win. If it is 2, 3, 4, 5, 9, 10, 11, 12, you win. Since you have lots more possible winning combinations than I do, the rules are that you pay me $2.00 when I win and I pay you $1.00 when you win. If we play this game 30 times, how much do you...
Please follow the comment. 2. Roll two fair dice repeatedly. If the sum is ≥ 10,...
Please follow the comment. 2. Roll two fair dice repeatedly. If the sum is ≥ 10, then you win. (a) What is the probability that you start by winning 3 times in a row? (b)What is the probability that after rolling the pair of dice 5 times you win exactly 3 times? (c) What is the probability that the first time you win is before the tenth roll (of the pair), but after the fifth?
In a game, you roll two fair dice and observe the uppermost face on each of...
In a game, you roll two fair dice and observe the uppermost face on each of the die. Let X1 be the number on the first die and X2 be the number of the second die. Let Y = X1 - X2 denote your winnings in dollars. a. Find the probability distribution for Y . b. Find the expected value for Y . c. Refer to (b). Based on this result, does this seem like a game you should play?
Suppose someone gives you 9 to 2 odds that you cannot roll two even numbers with...
Suppose someone gives you 9 to 2 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win ​$9 if you succeed and you lose ​$2 if you fail. What is the expected value of this game to​ you? Should you expect to win or lose the expected value in the first​ game? What can you expect if you play 100 ​times? Explain.​ (The table will be helpful in finding the required​...
you roll a fair pair od dice. Find the following. a.)sum of five or seven b.)sum...
you roll a fair pair od dice. Find the following. a.)sum of five or seven b.)sum of ten c.)a one on both die at the same time d.) sum of six or an even number
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT