A group of 5 boys and 3 girls are going to sit together in a row of 8 theater seats. They run into the theater and seat themselves randomly. For each of the following, give your answer correct to six decimal places. What is the probability they will be seated in alphabetical order from left to right? What is the probability the boys will be seated together and the girls will be seated together?

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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Please give answer to six decimal places.

A group of 5 boys and 3 girls are going to sit together in a row of 8 theater seats. They run into the theater and seat themselves randomly. For each of the following, give your answer correct to six decimal places.
What is the probability they will be seated in alphabetical order from left to right?
What is the probability the boys will be seated together and the girls will be seated together?
Transcribed Image Text:A group of 5 boys and 3 girls are going to sit together in a row of 8 theater seats. They run into the theater and seat themselves randomly. For each of the following, give your answer correct to six decimal places. What is the probability they will be seated in alphabetical order from left to right? What is the probability the boys will be seated together and the girls will be seated together?
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