Newyork University Building 8 has a 15-story structure. Mr. Raju works on the 11th floor of this building. Except for stopping on a floor where the button has been pressed, the single elevator travels endlessly between floors 1,2,3,..., 14,15,14,...,3,2,1. Assume that the amount of time required to load and unload passengers is minimal compared to the actual trip time. Mr. Raju always wonders when he is about to leave his office at 6 PM, most of the time, the lift goes up before stopping at his floor. One day, Raju encounters you in the lift and shared his thoughts with you. Since you are taking Discrete Mathematics course, he expects you to solve the mystery for him. Provide a valid explanation in terms of probability to Mr. Raju.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section: Chapter Questions
Problem 22T: On the first part of a 350-kilometer trip, a salesperson travels 2 hours and 15 minutes at an...
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Newyork University Building 8 has a 15-story structure. Mr. Raju works on the 11th floor of this building. Except for stopping on a floor where the button has been pressed, the single elevator travels endlessly between floors 1,2,3,..., 14,15,14,...,3,2,1. Assume that the amount of time required to load and unload passengers is minimal compared to the actual trip time.
Mr. Raju always wonders when he is about to leave his office at 6 PM, most of the time, the lift goes up before stopping at his floor. One day, Raju encounters you in the lift and shared his thoughts with you. Since you are taking Discrete Mathematics course, he expects you to solve the mystery for him. Provide a valid explanation in terms of probability to Mr. Raju.

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