Answered: What is the probability that the first…

What is the probability that the first pencil case in this permutation is the blue one, given that the last pencil case in the permutation is the orange one?

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

Ananya has 7 pencil cases, one for each day of the week. Each pencil case has a different color (blue, red, green, white, black, orange, purple), and thus the pencil cases are all distinguishable.

Ananya begins each week by choosing a permutation of the 7 pencil cases, uniformly at random, in order to decide the order in which she will use the pencil cases throughout the week (first pencil case on Sunday, second on Monday, ..., seventh on Saturday).

What is the probability that the first pencil case in this permutation is the blue one, given that the last pencil case in the permutation is the orange one?

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