The game "High Rollers" is as follows. The participant Polls a standard 6-sided die. If the roll is a 5 or a 6, the participant wins $6. If the roll is a 2, 3 or 4, the participant wins $2. If the roll is a 1, the participant loses (must pay) $21. There is no initial cost to play the game.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.FOM: Focus On Modeling: The Monte Carlo Method
Problem 3P: Dividing a JackpotA game between two players consists of tossing a coin. Player A gets a point if...
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The game "High Rollers" is as follows. The participant rolls
a standard 6-sided die. If the roll is a 5 or a 6, the
participant wins $6. If the roll is a 2, 3 or 4, the participant
wins $2. If the roll is a 1, the participant loses (must pay)
$21. There is no initial cost to play the game.
(a) Determine the probability distribution for this game.
(b) What is the expected value to be won or lost by playing
this game once.
(c) The organizers of this game would like the expected
value of one roll of the die to be -$1.25 (participants must
pay $1.25). To do this, the organizers keep all of the rules
the same with one exception. Instead of paying $21 when
the participant rolls a 1, the participant must now pay $x
when they roll a 1. Determine the value of x.
039
04
Transcribed Image Text:The game "High Rollers" is as follows. The participant rolls a standard 6-sided die. If the roll is a 5 or a 6, the participant wins $6. If the roll is a 2, 3 or 4, the participant wins $2. If the roll is a 1, the participant loses (must pay) $21. There is no initial cost to play the game. (a) Determine the probability distribution for this game. (b) What is the expected value to be won or lost by playing this game once. (c) The organizers of this game would like the expected value of one roll of the die to be -$1.25 (participants must pay $1.25). To do this, the organizers keep all of the rules the same with one exception. Instead of paying $21 when the participant rolls a 1, the participant must now pay $x when they roll a 1. Determine the value of x. 039 04
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