In the game of roulette, a player can place a $10 bet on the number 6 and have a 38 probability of winning. If the metal ball lands on 6, the player gets to keep the $10 paid play the game and the player is awarded an additional $350. Otherwise, the player is awarded nothing and the casino takes the player's $10. Find the expected value E(x) to the player for one play of the game. If x is the gain to a player in a game of chance, then E(x) is usually negative. This value gives the average amount per game the player can expect to lose.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section: Chapter Questions
Problem 41CT: On a game show, a contestant is given the digits 3, 4, and 5 to arrange in the proper order to form...
icon
Related questions
Question
1
In the game of roulette, a player can place a $10 bet on the number 6 and have a
38
probability of winning. If the metal ball lands on 6, the player gets to keep the $10 paid to
play the game and the player is awarded an additional $350. Otherwise, the player is
awarded nothing and the casino takes the player's $10. Find the expected value E(x) to
the player for one play of the game. If x is the gain to a player in a game of chance,
then E(x) is usually negative. This value gives the average amount per game the player
can expect to lose.
The expected value is $.
(Round to the nearest cent as needed.)
Transcribed Image Text:1 In the game of roulette, a player can place a $10 bet on the number 6 and have a 38 probability of winning. If the metal ball lands on 6, the player gets to keep the $10 paid to play the game and the player is awarded an additional $350. Otherwise, the player is awarded nothing and the casino takes the player's $10. Find the expected value E(x) to the player for one play of the game. If x is the gain to a player in a game of chance, then E(x) is usually negative. This value gives the average amount per game the player can expect to lose. The expected value is $. (Round to the nearest cent as needed.)
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL