Refer to the following table regarding the game of keno. Outcome Probability 6 winning spots 0.00012898 5 winning spots 0.00309564 4 winning spots 0.02853792 3 winning spots 0.12981955 Fewer than 3 winning spots 0.83841791 (a) Find the expected value of a $1 bet in six-spot keno if three winning spots pays $1 (but you pay $1 to play, so you actually break even), four winning spots pays $4 (but you pay $1 to play, so your profit is $3), five pays $110, and six pays $2,100. (Round your answer to two decimal places.) $ ______ (b) Interpret the expected value. For a large number of plays, you should expect to ________ (gain or lose) about $________ (enter a positive value) for every dollar you bet.
Refer to the following table regarding the game of keno. Outcome Probability 6 winning spots 0.00012898 5 winning spots 0.00309564 4 winning spots 0.02853792 3 winning spots 0.12981955 Fewer than 3 winning spots 0.83841791 (a) Find the expected value of a $1 bet in six-spot keno if three winning spots pays $1 (but you pay $1 to play, so you actually break even), four winning spots pays $4 (but you pay $1 to play, so your profit is $3), five pays $110, and six pays $2,100. (Round your answer to two decimal places.) $ ______ (b) Interpret the expected value. For a large number of plays, you should expect to ________ (gain or lose) about $________ (enter a positive value) for every dollar you bet.
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Refer to the following table regarding the game of keno.
Outcome | |
---|---|
6 winning spots | 0.00012898 |
5 winning spots | 0.00309564 |
4 winning spots | 0.02853792 |
3 winning spots | 0.12981955 |
Fewer than 3 winning spots | 0.83841791 |
(a) Find the expected value of a $1 bet in six-spot keno if three winning spots pays $1 (but you pay $1 to play, so you actually break even), four winning spots pays $4 (but you pay $1 to play, so your profit is $3), five pays $110, and six pays $2,100. (Round your answer to two decimal places.)
$ ______
(b) Interpret the expected value.
$ ______
(b) Interpret the expected value.
For a large number of plays, you should expect to ________ (gain or lose) about $________ (enter a positive value) for every dollar you bet.
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