Home
Search
Gallery
Blogs
Dictionary
Textbooks
Resource Library
Flashcards
Latest Topics
Ask a Question
Home
Take a Tour
Study Tips
Help Pages
Contact Us
Gallery
Recently Added
Videos
Search
Blogs
Dictionary
Add New Word
Random Term
Recent Changes
Resource Library
Share Your Resources
Recently Added
Search
Forum
Ask a Question
Log In
Sign Up
your
homework help
forum
Q & A Board
Gallery
Notes and Downloads
This Board
Research Articles
Entire Website using Google
Forum
Search
Advanced Search
Image Gallery
Resource Library
Topics
Unresolved Questions
Discussions
Trending
Recent Posts
Chat
Subjects
Recent
Posts
•
Discussions
•
Unresolved Questions
Top Posters
Since Sunday
p
69
61
15
I
9
y
8
w
8
a
8
l
8
e
7
w
7
t
7
b
7
Home
Q & A Board
Science-Related Homework Help
Mathematics
Statistics and Probability
Print
New Topic
Dice rolls Two players compete against each other by rolling dice - not the traditional dice, ...
LilyGal
LilyGal
wrote...
Go to Answer
Posts:
209
Rep:
12
0
2 weeks ago
2 weeks ago
Dice rolls Two players compete against each other by rolling dice - not the traditional dice, ...
Dice rolls
Two players compete against each other by rolling dice - not the traditional dice, though. One face of Alphonso's die has an 8 and the other five faces are all 2's. Bettina's die has four 3's and two 1's on the six faces.
a. They each roll their die, and the player with the highest score wins. Which player has the advantage? Explain.
b. If Alphonso wins, Bettina pays him $10. How much should he pay her if she wins in order to make the game fair?
c. They decide to change the rules. They'll each roll, and the winner will collect the number of dollars shown on his or her die. For example, If Alphonso rolls a 2 and Bettina rolls a 3, he'll pay her $3. Create a probability model for the amount Alphonso wins.
d. Find the expected value and standard deviation of Alphonso's winnings at this game.
e. If they play this new game repeatedly which player has the advantage? Explain.
Textbook
Stats: Modeling the World
Edition:
4
^{th}
Authors:
Bock, Velleman, De Veaux
5
/ 5
Dice rolls Two players compete against each other by rolling dice - not the traditional dice, ...
5
out of
5
based on
1
votes
Read 43 times
1
Reply
Report
Replies
Answer verified by a
subject expert
Kailz1218
Kailz1218
wrote...
#1
Answer Link
Posts:
272
Rep:
8
0
2 weeks ago
2 weeks ago
Sign in
or
Sign up
in seconds to unlock everything.
a. Total outcomes = 36, Alphonso wins 16 times = 0.4444, Bettina wins 20 times = 0.5556
Or
P(B)
=
P(A gets 2 ∩ B gets 3)
=
×
=
b. If fair,
E(A)
= $10
+
x
= 0 or x = -8
So if Alphonso wins, he should pay Bettina $8 to make it a fair game.
c.
d.
E(X)
= $8
+ $2
+ (-$3)
= $0.22
Standard deviation =
=
= 4.09
e. Alphonso has the advantage, because his expected value is positive. He expects to win an average of $0.22 for each time they play the game.
1
1 Vote
bio_man
Report
Related Topics
Solved
"You roll 2 dice. You can use a Venn diagram to calculate the probability that the sum of the dice is a prime?
Solved
Think of the situation of rolling two dice and let M denote the sum of the number of dots on the two ...
What is the probability of rolling two six-sided dice and obtaining an odd number on at least one ...
What is the probability of rolling two six-sided dice and obtaining at least one 3? What will be ...
What is the probability of rolling two six-sided dice and obtaining two 4's? What will be an ...
Francesca is at a casino watching a game involving dice. She determines that one of the dice is ...
Solved
In a carnival game, a person wagers 2 on the roll of two dice. If the total of the two dice is 2, 3, ...
When rolling a pair of fair dice, the probability of rolling a total point value of 7 is 0.17 . If ...
Show More
New Topic
Quick Reply
[center][color=gray]Please [b]login or register[/b] to leave a reply[/color][/center]
Explore
Post your homework questions and get free online help from our incredible volunteers.
Why Sign Up?
Learn More
Improve Grades
Help Others
Save Time
Accessible 24/7
131 People Browsing
Start New Topic
Take the Tour
Study Tips
Browse by Textbook
New
Your Opinion
Who's your favorite biologist?
Charles Darwin
Carl Linnaeus
Gregor Mendel
James Watson
Rachel Carson
Craig Ventor
Other
Votes: 43
Previous poll results:
Where do you get your textbooks?
Related Images
643
524
422
Latest Blogs
This Island has More Sheep than Humans
Canada's only desert
Where is our third eyelid?
Are vaccines safe for children?
Watch this 1940's Disney Cartoon Made to Fight Malaria
Ready to ask a question on
Biology Forums
?
Try it out
▸
Kabbadi - A good contender for future Olympics games.
–
Curiosity Questions
Compare traditional and differentiated assignments. Identify an assignment in a topic of interest to ...
–
Education Studies
Find the derivative of x^2 + 1/x using delta method
–
Calculus
Sports legends in different fields.
–
Off-Topic Room
Mixed 11 players football matches.
–
Curiosity Questions
Mixed 5 players Basketball matches.
–
Curiosity Questions
Test Bank request Pharmacotherapy Principles and Practice, 5e Marie A. Chisholm-Burns, Terry L. Sch
–
Test-Bank and Note Requests
Old B&W Orchestras & Concerts conducted in USA, Canada & Europe.
–
Music Studies
NURSING: A Concept-Based Approach to Learning Volume 1 & 2 - [High]
–
Test-Bank and Note Requests
If you enter a 10K race without training adequately, _____________ might be the most adaptive coping
–
Psychology
Loading...