You are trying to find a time when two people can meet. Assume a standard, 8:00am - 5:00pm workday is composed of 9 one hour blocks. Each block has p=0.75 probability of being busy for each person. We assume that whether each block is busy for a person is independent of whether other blocks are busy for them, and also independent of whether that block is busy for other people. Question: Two people are trying to schedule a meeting. What is the probability that there is at leastone block of time when they are both free on a given day? Provide your answer to 3 decimal places.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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You are trying to find a time when two people can meet. Assume a standard, 8:00am - 5:00pm workday is composed of 9 one hour blocks. Each block has p=0.75 probability of being busy for each person. We assume that whether each block is busy for a person is independent of whether other blocks are busy for them, and also independent of whether that block is busy for other people.

Question: Two people are trying to schedule a meeting. What is the probability that there is at leastone block of time when they are both free on a given day? Provide your answer to 3 decimal places.

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