owing questions. What is the probability P₁ that there ide lengths √a, √b, √c?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
icon
Related questions
Question
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
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
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage