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)
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Chapter1: Combinatorial Analysis
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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
Transcribed Image Text: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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