14) A casino game has three possible winnings, $15, $10, and $5, each being twice as likely as the one before it. Player's don't win anything 65% of the time. i) What are the chances of winning $15 on one play? ii) If it costs $3 to play this game, how much does a player expect to lose on average? (Find the expected profit, which will be negative. This is the player's loss).

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
14) A casino game has three possible winnings, $15, $10, and $5, each being twice as likely as the one before it. Players don’t win anything 65% of the time. 

i) What are the chances of winning $15 on one play?

ii) If it costs $3 to play this game, how much does a player expect to lose on average? (Find the expected profit, which will be negative. This is the player’s loss).
Transcribed Image Text:14) A casino game has three possible winnings, $15, $10, and $5, each being twice as likely as the one before it. Players don’t win anything 65% of the time. i) What are the chances of winning $15 on one play? ii) If it costs $3 to play this game, how much does a player expect to lose on average? (Find the expected profit, which will be negative. This is the player’s loss).
Expert Solution
Step 1

Consider the probabilities of winnings of  $15, $10, and $5 as p1p2 and p3 respectively.

It is stated that each value is twice as likely as the previous value, i.e., it is interpreted that: p2=2p1 and p3=2p2.

It is also known that 65% of the time players win nothing.

 

 

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman