owing questions. What is the probability P₁ that there ide lengths √a, √b, √c?
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:2. Cast a dice 3 times and let a, b, c be the number of dots on a side
of the dice in order. Fill in the blanks with the answers to the
following questions.
(1) What is the probability P₁ that there exists a triangle with the
side lengths √a, √b, √c?
(2) Given that there exists a right triangle with the side lengths √a,
√b, √c, what is the conditional probability P₂ that a, b, c are
mutually different?
(3) When there exists a triangle with the side lengths √a, √b, √c and
one of the angles is 60 degrees, what is M, which is the maximum
bc
value of
(1) P₁ =
(2) P₂ =
(3) M =
-?
a
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