**Question 3:** If a person rolls doubles when she tosses two dice, she wins $10. For the game to be fair, how much should she pay to play the game?### Explanation:In this problem, we need to determine the fair cost to play a game involving rolling two dice. The player wins $10 if she rolls doubles.1. **Probability of Rolling Doubles:** - There are 6 possible doubles when rolling two six-sided dice: (1,1), (2,2), (3,3), (4,4), (5,5), (6,6). - The total number of outcomes when rolling two dice is $6 \times 6 = 36$. - Therefore, the probability of rolling doubles is $\frac{6}{36} = \frac{1}{6}$.2. **Expectation:** - To find the fair cost, calculate the expected winnings of the game. - Winning $10 has a probability of $\frac{1}{6}$. - Thus, the expected winnings are $10 \times \frac{1}{6} = \frac{10}{6} = \frac{5}{3} \approx 1.67$.3. **Fair Cost:** - For the game to be fair, the cost to play should be equal to the expected winnings. - Therefore, the fair cost is approximately $1.67.

Name: **Question 3:** If a person rolls doubles when she tosses two dice, s
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: **Question 3:** If a person rolls doubles when she tosses two dice, she wins $10. For the game to be fair, how much should she pay to play the game?### Explanation:In this problem, we need to determine the fair cost to play a game involving rolling

From the provided information, If a person rolls doubles when she tosses two dice, she wins $10,…

Answered: 3. If a person rolls doubles when she…

Math

Statistics

3. If a person rolls doubles when she tosses two dice, she wins $10. For the game to be fair, how much should she pay to play the game?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

10. Jenna is playing a board game. She rolls two number cubes, each numbered 1–6. If she rolls a sum of 12, she wins $100; otherwise, she loses $1. How much should Jenna expect to win or lose on average per roll? OWED EQUCion acer
A pair of fair dice is rolled onoe, Suppose that you lose $7 if the dice sum to 5 and win $8 if the dice sum to 11 or 12. How much should you win or lose if any other number tums up in order for the game to be fair? To keep the game fair, you should (Do not round until the final answer. Then round to the nearest cent as needed.) if the dice sum to any other number
You have two dice, each numbered from 1 to 6. The probability of rolling a total of 6 is what? Express your answer as a fraction
Suppose that you roll two dice. He will be paid five dollars if you wrote a double. You will not receive anything for any other outcome. How much should you be willing to pay for the privilege of rolling the dice? Answer choices: $0.28 $5.00 $0.14 $0.69 $0.83
You roll two fair dice. What is the P that the sum you roll is: D given 10?
Determine the probability of being dealt 21 with the first two cards dealt from a new deck. Present your solution in detail, using words to explain what you are calculating and why
Suppose that you and a friend are playing cards and decide to make a bet. If you draw two clubs in succession from a standard deck of 52 cards without replacing the first card, you win $⁢40. Otherwise, you pay your friend $⁢10. If the same bet was made 25 times, how much would you expect to win or lose? Round your answer to the nearest cent, if necessary. Win: Lose:
You need to borrow money for gas, so you ask your mother and your sister. You can only borrow money from one of them. Before giving you money, they each say they will make you play a game. Your sister says she wants you to flip a fair coin. She will give you $8$ for heads and $⁢22 for tails. Your mother says she wants you to roll a six-sided die. She will give you $4$ times the number that appears on the die. Determine the expected value of each game and decide which offer you should take.
You need to borrow money for gas, so you ask your mother and your sister. You can only borrow money from one of them. Before giving you money, they each say they will make you play a game. Your sister says she wants you to roll a six-sided die. She will give you $⁢4 times the number that appears on the die. Your mother says she wants you to spin a spinner with two outcomes, blue and red, on it. She will give you $⁢5 if the spinner lands on blue and $⁢15 if the spinner lands on red. Determine the expected value of each game and decide which offer you should take. The expected value for your sister's game: $$ The expected value for your mother's game: $$ Which offer should you take?
Mickey and Minnie are playing a game. They spin a spinner that has 11 equally sized pieces, 3 red, 2 blue, 1 green and 5 yellow. If the spinner lands on yellow, Minnie wins $7. If it lands on blue, Minnie wins $ 4. If it lands on any other section, Minnie loses money. In order for the game to be fair, Minnie must lose $ Blank 1. Calculate the answer by read surrounding text. if