Let S = {1, 2, 3} be a sample space. Let P be a probability measure defined on 2S (the collection of all subsets of S) such that P(i) = xi , for i = 1, 2, 3. Select the correct statement from the following and complete it. Briefly justify your answer. No proof is required. 1. (x1, x2, x3) can be any point in a sphere centered at the origin, having radius R = . 2. (x1, x2, x3) can be any point in a triangle whose vertices are v1 = , v2 = , and v3 = . 3. (x1, x2, x3) can be any point in a square whose vertices are v1 = , v2 = , v3 = , and v4 =

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Let S = {1, 2, 3} be a sample space. Let P be a probability measure defined
on 2S
(the collection of all subsets of S) such that

P(i) = xi
, for i = 1, 2, 3.

Select the correct statement from the following and complete it. Briefly
justify your answer. No proof is required.
1. (x1, x2, x3) can be any point in a sphere centered at the origin, having
radius R = .
2. (x1, x2, x3) can be any point in a triangle whose vertices are v1 =
, v2 = , and v3 = .
3. (x1, x2, x3) can be any point in a square whose vertices are v1 = ,
v2 = , v3 = , and v4 = .

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