On her week-long trip to sunny Puerto Rico, Irvane brought 7 hats, one for each day of theweek. Each case has a different color (blue, red, green, white, black, orange, purple), and thusthe hats are all distinguishable.Irvane began her vacation week by choosing a permutation of the 7 hats, uniformly at random,in order to decide the order in which she will wear them throughout the week (first hat onSunday, second on Monday, ..., seventh on Saturday).What is the probability that the first hat in this permutation is the blue one, given that the lasthat in the permutation is the orange one?

For total of 7 days, we have 7 different colours of hat.So, total permutations are 7! (There are 7…

Answered: On her week-long trip to sunny Puerto…

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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