2. Cast a dice 3 times and let a, b, c be the number of dots on a sideof the dice in order. Fill in the blanks with the answers to thefollowing questions.(1) What is the probability P₁ that there exists a triangle with theside 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 aremutually different?(3) When there exists a triangle with the side lengths √a, √b, √c andone of the angles is 60 degrees, what is M, which is the maximumbcvalue of(1) P₁ =(2) P₂ =(3) M =-?a

Given: There are 3 dots on side of dice are a,b,c. Ω=1,1,1,1,1,2,....,6,6,6 It denotes the dice's…

Answered: owing questions. What is the…

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