8. QUESTION: Suppose that for three dice of the standard type all 216 outcomes of a throw are equally likely. Denote the scores obtained by X1, X2 and X3. By counting outcomes in the events find (a) P(X1+X2+X3 < 5); (b) P(min(X1, X2, X3) 2 i) for i = 1, 2, ... 6; (c) P(X1+ X2 < (X3)²).
8. QUESTION: Suppose that for three dice of the standard type all 216 outcomes of a throw are equally likely. Denote the scores obtained by X1, X2 and X3. By counting outcomes in the events find (a) P(X1+X2+X3 < 5); (b) P(min(X1, X2, X3) 2 i) for i = 1, 2, ... 6; (c) P(X1+ X2 < (X3)²).
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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Transcribed Image Text:8. QUESTION:
Suppose that for three dice of the standard type all 216 outcomes of a throw are equally likely. Denote
the scores obtained by X1, X2 and X3. By counting outcomes in the events find (a) P(X1+X2+X3 <
5); (b) P(min(X1, X2, X3) 2 i) for i = 1, 2, ... 6; (c) P(X1+ X2 < (X3)²).
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