1. Consider a game played by rolling a set of three 3-sided dice one time and adding the values from the dice together to form a sum. The game costs $7 to play once. You don't get any prize for rolling a sum of 5 or 7, you get $12 for a sum of 4 or 8, and you get $37 for a sum of 3 or 9. If the game is "fair," what is the prize for rolling a 6? (Hint: form a probability distribution to help you find the missing value and recall what "expected value" means in the context of a probability distribution.)

1. Consider a game played by rolling a set of three 3-sided dice one time and adding the values from the dice together to form a sum. The game costs $7 to play once. You don't get any prize for rolling a sum of 5 or 7, you get $12 for a sum of 4 or 8, and you get $37 for a sum of 3 or 9. If the game is "fair," what is the prize for rolling a 6? (Hint: form a probability distribution to help you find the missing value and recall what "expected value" means in the context of a probability distribution.)

Name: 1. Consider a game played by rolling a set of three 3-sided dice one
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: 1. Consider a game played by rolling a set of three 3-sided dice one time andadding the values from the dice together to form a sum. The game costs $7 toplay once. You don't get any prize for rolling a sum of 5 or 7, you get $12 for asum of 4 or 8,

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

Related questions

Q: You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of…

Q: 5.1 Construct a probability tree of the problem. 5.2 What is the probability that Maggie picks a…

A: Here FROM GIVEN INFORMATION DEFINE EVENETS

Q: Solve the following problems. 2. A card is drawn from a deck of 52 cards. What is the probability…

A: “Since you have posted a question with multiple sub-parts, we will solve three subparts for you. To…

Q: i) Find the probability that, when 5 fair six-sided dice are rolled, the result is: a) 5-of-a-kind…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: Problem. A asserts that he will throw at least one six with six dice. B asserts that he will throw…

Q: The student council for a school of science and math has one representative from each of the five…

A: a) Therefore the 10 possible ways are {(B, C), (B, M), (B, P), (B, S), (C, M), (C, P), (C, S), (M,…

Q: 3: A player bets on coin tosses, a dollar each time, and the game ends either when the player has no…

Q: When playing the dice game 21's, if you were presented with the following scenario, how many dice…

Q: Conceptual Problems 1. Consider a game in which a coin will be flipped three times. For each of…

A: Note: Since we only answer up to 3 sub parts , we will answer the first 3. Please resubmit the…

Q: Hi! I need help with this question: A graduate student studying math has 4 analysis textbooks, 4…

A: We have given that, Analysis textbooks = 4 Probability textbooks = 4 Financial math textbooks = 5

Q: 1/2 1. fa coin is flipped twice, what is the probability that the result is hends both timer?

A: As per our guidelines we are supposed to answer only one question.* *Kindly repost other question as…

Q: Problem 3. You have a red dice and a blue dice. You roll each dice and record the result as an…

A: The sample is given by…

Q: Problem #3 An Interesting Coin Game Suppose that two people A and B are playing a game with a single…

A: It is given that there are two-player A and B and they are playing a game where they will toss a…

Q: PROBLEM (8) A risk averse decision maker with ?(?) = √? faces a lottery L that delivers $2500 or…

Q: Consider two six-sided dice. a. Calculate the probability of rolling a "3" on a single die. b.…

A: Solution: 15. Suppose two dice are rolled. Then, the sample space is Number of elements in the…

Q: You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of…

A: If you roll two fair dice then the possible out comes are 36i.e n(s)=36

Q: You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of…

A: Introduction: Two fair dice are rolled in the experiment. Each die has possible outcomes: {1, 2, 3,…

Q: (1) An experiment consists of rolling two fair dice and adding the dots on the two sides facing up.…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of…

A: When two fair dice a green and a red one are rolled, the sample space is given by, S = {(1,1),…

Q: Refer to the table below. Of the 36 possible outcomes, determine the number for which the sum (for…

A: Given To find of the possible outcome of 36, determine the number for which the sum is prime. The…

Q: 1. The sum of two six-sided dice is a uniformly distributed random number.

A: Hi you have posted multiple question in one go. So as the guidelines I am obliged to answer first…

Q: A game consists of spinning an unbiased, five-sided spinner which can land on A, B, C, D or E, and…

A: Given information: The five sided spinner which can land on A, B, C, D or E and unbiased die are…

Q: Refer to the table below. Of the 36 possible outcomes, determine the number for which the sum (for…

A: Two dices are rolled.

Q: In craps, what are the fair net odds to pay for betting on a 10 to come up on the next roll of the…

A: When two dice are rolled there are 36 possible outcomes(6*6).

Q: You roll two fair dice, a green one and a red one. (a) What is the probability of getting a sum of…

A: Note: As per bartleby guidelines only first three subparts are to be solved. Please upload other…

Q: 6. Which experiment has exactly 12 possible outcomes? (a) Flipping a coin six times (b) Rolling two…

A: A random experiment is an experiment that has multiple possible outcomes. These experiments can be…

Q: In rolling the dice two times , the probability that the sum of the two appearing numbers is greater…

A: We have to find correct answer....

Q: Problem 1: 20 Pennies are tossed. a) What is the total number of states (i.e. possible sequences of…

A: 20 pennies are tossed

Q: 5. Imagine that you flip a coin and roll a fair 6-sided die, simultaneously. List all the possible…

A: Let us denote: H=head, T=tail So the possible outcomes are (H, 1), (H, 2), (H, 3), (H, 4), (H, 5),…

Q: A problem in statistics is given to five students A, B, C, D and E. Their 1 1 1 1 chances of solving…

A: here given , A problem in statistics is given to five students A, B, C, D and E. Their chances of…

Q: Problem#10: How many dice must be thrown so that there is a better than even chance of obtaining a…

A: We find how many dice must be thrown so that there is a better than even chance of obtaining a six.

Q: Solve the following problems. 1. A bag contains 2 white balls, 4 black balls, and 6 red balls. One…

A: As per bartleby guideline expert have to answer first question only

Q: 3. Levi rolls two dice, a six-sided one numbered from 1 to 6 and a four-sided one labelled A, B. C.…

Q: Given two fair dice, (1) What is the probability that the dice show the same numbers? (2) What…

A: 1) From the given information, two fair dice are rolled . The total sample space is, The sample…

Q: Rework problem 26 from the chapter 3 review section of your text, involving the rolling of two fair…

A: Given, 2 dice are rolled. so, sample space is : { (1,1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)…

Q: What is the probability that a five-card poker hand contains the one of diamonds, the three of…

A: HERE GIVEN , 5 Card hand have one of diamonds, the three of spades, the five of hearts, the seven of…

Q: Rework problem 26 from the chapter 3 review section of your text, involving the rolling of two fair…

A: The basic thing you are trying to find is (how many ways can you get the desired outcome) over…

Q: 1

A: In game theory , the battle of the sexes ( BoS ) is a two player coordination game that also…

Q: Refer to the table below. Of the 36 possible outcomes, determine the number for which the sum (for…

A: The given table is:

Q: With two dice, each numbered 1-6, there are two possible ways to roll a 3. and

A: Given information: Given that 2 dice are rolled each numbered 1 - 6.

Q: 18. Many casinos have a game called the Big Six Money Wheel, which has 54 slots in which are…

A: Given that -

Q: Refer to the table below. Of the 36 possible outcomes, determine the number for which the sum (for…

Q: A wheel of fortune has 5 sectors, 1 green, 2 red and 2 yellow. The oered game has the following…

A: Given data: The number of green sectors is G=1. The number of red sectors is R=2. The number of…

Q: (1) Suppose two dice are rolled. What is the probability: a) The first die lands on an even number…

A: We can solve this using given information

Q: 1. Suppose that two fair dice are rolled. If you bet $1 on rolling a sum of 11, how many dollars…

A: Sa per bartleby guideline expert have to answer first question only.

Q: Inhorseracing,onecanmakeatrifectabetbyspecifyingwhichhorsewillcomeinfirst,which will come in second,…

A: Solution (a) The number of ways to make a trifecta bet is the number of permutations of 3 horses…

Q: 1.3.12. Compute the probability of being dealt at random and without replacement a 13-card bridge…

A: We can pick 13 cards from 52 cards in 52C13=635013559600 ways. We can pick 6 spades from 13 spades…

Q: b) Suppose you roll the dice repeatedly, and you will keep flipping it until you observe two total…

A: Introduction to Negative binomial distribution: Consider a random experiment involving x failures…

Q: In the Illinois pick 3 lottery game, you pay 50 cents to select a sequence of 3 digits, such as 314.…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Topic Video

Question

1. Consider a game played by rolling a set of three 3-sided dice one time and
adding the values from the dice together to form a sum. The game costs $7 to
play once. You don't get any prize for rolling a sum of 5 or 7, you get $12 for a
sum of 4 or 8, and you get $37 for a sum of 3 or 9. If the game is "fair," what is
the prize for rolling a 6? (Hint: form a probability distribution to help you find
the missing value and recall what "expected value" means in the context of a
probability distribution.)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduction

VIEW

Step 2: Conclusion

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Optimization$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc