In the game of roulette, a player a can place a $8 bet on the number 6 and have a 1/38 probability of winning. If the metal ball lands on 6, the player ges to keep the $8 paid to play the game and the plaeyer is awarded an additional $280. Otherwise, the player is awarded nothing and the casino takes the player's $8. 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. The value gives the average amount per game the player can expect to lose.  What is the expected value?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 68E
icon
Related questions
Topic Video
Question

In the game of roulette, a player a can place a $8 bet on the number 6 and have a 1/38 probability of winning. If the metal ball lands on 6, the player ges to keep the $8 paid to play the game and the plaeyer is awarded an additional $280. Otherwise, the player is awarded nothing and the casino takes the player's $8. 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. The value gives the average amount per game the player can expect to lose. 

What is the expected value? 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning