Question

Jack and Jill keep rolling a six-sided and a three-sided die, respectively. The first player to...

Jack and Jill keep rolling a six-sided and a three-sided die, respectively. The first player to get the face

having just one dot wins, except that if they both get a 1, it’s a tie, and play continues. Let N denote

the number of turns needed. Find:

a. P(N=1), P(N=2).

b. P(the first turn resulted in a tie|N = 2).

c. P(Jack wins).

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

a)

When Jack gets 1 and Jill gets other than 1 on the first turn or Jack gets other than 1 and Jill gets 1 on the first turn, the game ends on the first turn.

The probability that the games ends on the first turn is

The probability that the games ends on the second turn is

b) The conditional probability

c) For Jack to win, Jill should not win. The game continues on tie and when Jack gets faces 2,3,4,5,6 and Jill get faces 2,3.

The probability Jack wins on the turn is

The probability Jack wins is

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A game of chance involves rolling a standard, six-sided die. The amount of money the player...
A game of chance involves rolling a standard, six-sided die. The amount of money the player wins depends on the result of the die roll: * If the result is 1 or 2, the player wins nothing; * If the result is 3, 4, or 5, the player wins 8 dollars; * If the result is 6, the player wins 42 dollars. (Note: Your answer to the question below should be rounded to three decimal places.) If you play this...
A game involves rolling a fair six-sided die. If the number obtained on the die is...
A game involves rolling a fair six-sided die. If the number obtained on the die is a multiple of three, the player wins an amount equal to the number on the die times $20. If the number is not a multiple of three, the player gets nothing. How will you model the simulation for the roll of a die? A. Use the numbers 1–20 to represent the numbers rolled when a player wins. B. Use the numbers 1–6 to represent...
You create a game that involves flipping a coin and rolling a six-sided die. When a...
You create a game that involves flipping a coin and rolling a six-sided die. When a player takes their turn they first flip the coin to determine if they are going to deal or receive damage. The person then rolls the die to determine the amount of damage dealt. For this game, explain the difference between an event versus a simple event. What does that have to do with sample space Give the sample space for the game. Use H...
A game consists of first rolling an ordinary six-sided die once and then tossing an unbiased...
A game consists of first rolling an ordinary six-sided die once and then tossing an unbiased coin once. The score, which consists of adding the number of dots showing on the die, and the number of heads showing on the coin (0 or 1), is a random variable, say X. a) List the possible values of X, and write its PMF in the form of a table. b) Draw a graph of the PMF. c) What is the CDF of...
[10 pts.] You keep rolling a fair 6-sided die as long as no value is repeated....
[10 pts.] You keep rolling a fair 6-sided die as long as no value is repeated. When you see the first repeated value, that is your last roll. Let X be the number of rolls it took. Find P(X = k) for all k. You must justify every single step to get to the answer, or no credit will be awarded.
The game requires $5 to play, once the player is admitted, he or she has the...
The game requires $5 to play, once the player is admitted, he or she has the opportunity to take a chance with luck and pick from the bag. If the player receives a M&M, the player loses. If the player wins a Reese’s Pieces candy, the player wins. If the player wins they may roll a dice for a second turn, if the die rolls on a even number, they may pick from the bag once again with no extra...
In java create a dice game called sequences also known as straight shooter. Each player in...
In java create a dice game called sequences also known as straight shooter. Each player in turn rolls SIX dice and scores points for any sequence of CONSECUTIVE numbers thrown beginning with 1. In the event of two or more of the same number being rolled only one counts. However, a throw that contains three 1's cancels out player's score and they mst start from 0. A total of scores is kept and the first player to reach 100 points,...
Read the following case carefully and then answer the questions. In the movie Face/Off, John Travolta...
Read the following case carefully and then answer the questions. In the movie Face/Off, John Travolta got a new look by exchanging faces with Nicolas Cage. Unfortunately, he got a lot of trouble along with it. John could receive a much less troublesome new look by using Botox, a treatment discovered by Vancouver’s Dr. Jean Carruthers, who came upon the cosmetic potential of Botox in 1982 while treating a woman with eye spasms. Botox is marketed by Allergan, a specialty...
The Business Case for Agility “The battle is not always to the strongest, nor the race...
The Business Case for Agility “The battle is not always to the strongest, nor the race to the swiftest, but that’s the way to bet ’em!”  —C. Morgan Cofer In This Chapter This chapter discusses the business case for Agility, presenting six benefits for teams and the enterprise. It also describes a financial model that shows why incremental development works. Takeaways Agility is not just about the team. There are product-management, project-management, and technical issues beyond the team’s control. Lean-Agile provides...
What tools could AA leaders have used to increase their awareness of internal and external issues?...
What tools could AA leaders have used to increase their awareness of internal and external issues? ???ALASKA AIRLINES: NAVIGATING CHANGE In the autumn of 2007, Alaska Airlines executives adjourned at the end of a long and stressful day in the midst of a multi-day strategic planning session. Most headed outside to relax, unwind and enjoy a bonfire on the shore of Semiahmoo Spit, outside the meeting venue in Blaine, a seaport town in northwest Washington state. Meanwhile, several members of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT