Ms. Rasu designed a game where you roll a regular die with faces showing numbers 1, 2, 3, 4, 5, 6. If you roll a number that is a multiple of 3 you receive points double the amount of your roll, but if you roll any other number, you lose points the value of the roll. This information is recorded in the attached image. a) Complete the last column of the table. b) Calculate the expected value, E(X). c) Is this game fair? Justify.

Ms. Rasu designed a game where you roll a regular die with faces showing numbers 1, 2, 3, 4, 5, 6. If you roll a number that is a multiple of 3 you receive points double the amount of your roll, but if you roll any other number, you lose points the value of the roll. This information is recorded in the attached image. a) Complete the last column of the table. b) Calculate the expected value, E(X). c) Is this game fair? Justify.

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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Question

Ms. Rasu designed a game where you roll a regular die with faces showing numbers 1, 2, 3, 4, 5, 6. If you roll a number that is a multiple of 3 you receive points double the amount of your roll, but if you
roll any other number, you lose points the value of the roll. This information is recorded in the attached image.

a) Complete the last column of the table.
b) Calculate the expected value, E(X).

c) Is this game fair? Justify.

Roll #
Value of
Probability,
x p(x)
Points, x
p(x)
1
-1
-2
-
6.
3
+6
4
-4
-
-5
-
6.
+12
11611O11611 116116

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