Question: In this version of dice blackjack, you toss a single die repeatedly and add up the sum of your dice tosses. Your goal is to

In this version of “dice blackjack,” you toss a single die repeatedly and add up the sum of your dice tosses. Your goal is to come as close as possible to a total of 7 without going over. You may stop at any time. If your total is 8 or more, you lose. If your total is 7 or less, the “house” then tosses the die repeatedly. The house stops as soon as its total is 4 or more. If the house totals 8 or more, you win. Otherwise, the higher total wins. If there is a tie, the house wins. Consider the following strategies:

■ Keep tossing until your total is 3 or more.

■ Keep tossing until your total is 4 or more.

■ Keep tossing until your total is 5 or more.

■ Keep tossing until your total is 6 or more.

■ Keep tossing until your total is 7 or more.

For example, suppose you keep tossing until your total is 4 or more. Here are some examples of how the game might go:

■ You toss a 2 and then a 3 and stop for total of 5. The house tosses a 3 and then a 2. You lose because a tie goes to the house.

■ You toss a 3 and then a 6. You lose.

■ You toss a 6 and stop. The house tosses a 3 and then a 2. You win.

■ You toss a 3 and then a 4 for total of 7. The house tosses a 3 and then a 5. You win.

Note that only 4 tosses need to be generated for the house, but more tosses might need to be generated for you, depending on your strategy. Develop a simulation and run it for at least 1000 iterations for each of the strategies listed previously. For each strategy, what are the two values so that you are 95% sure that your probability of winning is between these two values? Which of the five strategies appears to be best?

Step by Step Solution

★★★★★

3.48 Rating (151 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To develop a simulation for this dice game you can follow these steps Define the rules of the game a... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1497_60486711c3f9f_838425.xlsx

300 KBs Excel File

Students Have Also Explored These Related Practical Management Science Questions!

Modify and test an HTML document from Exercise 2.9 that adds a secondlevel column label, Tree, and a second-level row label, Characteristics. Data from exercises 2.9 Create and test an HTML document...

Toss a fair die repeatedly. Let Sn denote the total of the outcomes through the nth toss. Show that there is a limiting value for the proportion of the first n values of Sn that are divisible by 7,...

You now have $3000. You will toss a fair coin four times. Before each toss you can bet any amount of your money (including none) on the outcome of the toss. If heads comes up, you win the amount you...

(a) If you roll a single die and count the number of dots on top, what is the sample space of all possible outcomes? Are the outcomes equally likely? (b) Assign probabilities to the outcomes of the...

In this version of dice blackjack, you toss a single die repeatedly and add up the sum of your dice tosses. Your goal is to come as close as possible to a total of 7 without going over. You may stop...

please do this in C# in visual studio with the form box and if possible with pictures showing the program appreciate it please follow the guideline Problem: In this lab, you will be using Visual...

1 2.3 Definition of a Discrete Probability Function Definition: Let S be a discrete sample space from some experiment. A function P, defined on all events in S, is said to be a probability function...

Please explain to me clearly and show how to do the two suppositions in the (question) file. Please take a look at the (notes) file and see the material up to the questions will be needed to answer...

Week 1 Lecture 1 Class Approach to Statistics Statistics is basically a set of tools that allow us to get information out of data sets (we will get to the more formal definition below). As such, it...

After reading CHAPTER 2 below from Michael J. Sandel 's book " JUSTICE ", please answer the following question: QUESTION: What are the strengths of Bentham 's thinking on moral reasoning? CHAPTER 2:...

A company issues a ten-year bond at par with a coupon rate of 6.7% paid semi-annually. The YTM at the beginning of the third year of the bond (8 years left to maturity) is 7.9%. What is the new price...

A gas mixture contains HBr, NO2, and C2H6 at STP. If a tiny hole is made in the container, which gas will effusefastest? Which gas molecules have the highest average kinetic energy atthis temperature?

15. LO.5 Indicate whether each of the following items is available to an S corporation. a. Amortization of organizational expenditures. b. Dividends received deduction. c. Standard deduction. d....

1. What are the core differences between public health endeavors and traditional medical care delivery?

Discuss how your product could be affected by changes in social attitudes, demographic characteristics, or lifestyles.

How does TOMS manage its supply chain in order to ensure ethical and socially responsible conduct?

If a survey of all homes with listed telephone numbers is to be conducted, what sampling design should be used?

What is the critical value for level of significance and table parameters in the data below? Level of Significance 0.025 Number of Rows Number of Columns

8. [-/3 Points] DETAILS BBUNDERSTAT11 5.2.018. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the...

Cassette tapes are still used in some handheld recording devices and in less expensive portable musical instrument recording devices. The desired speed of a cassette tape is 1.750 inches per second....