Answered: Consider three six sided dice where,…

Consider three six sided dice where, Die is a standard fair Die B has two sides equal to 1, two sides equal to 2 and two sides equal to 3 Die C has five equal sides equal to 1 and 1 side equ

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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Question

Consider three six sided dice where,

Die is a standard fair

Die B has two sides equal to 1, two sides equal to 2 and two sides equal to 3

Die C has five equal sides equal to 1 and 1 side equal to 6

Assume that one die is randomly selected (with each side of the die having the same of chance of being selected) and then that die is rolled.

What is probability that Die B is selected and the value is a 2?

What is the probability that the value on the Die is a 2?

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Expert Solution

Step 1

The probability that Die B is selected and the value is a 2 is,

$P (2 a n d D i e B) = \frac{2}{6} = \frac{1}{3} \sin c e, f o r D i e B, t o t a l n u m b e r o f o u t c o m e s i s 6 a n d n u m b e r 2 i s r e p e a t e d 2 t i m e s$

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