There are eight blocks; 3 forward, 2 left, 2 right, and one blank (doesn't do anything). There are four slots that are to be filled with the blocks, and it should be filled with three forward blocks. Also, there shouldn't be a right/left block, unless they are located as the last block (after the three forward blocks). Visualization are below: [forward] [forward] [forward] [right] (Success) [forward] [left] [forward] [forward] (Fail) [forward] [forward] [right] [forward] (Fail) The two requirements for success would therefore be three forward blocks, and left/right blocks only positioned at the end. What is the probability of success in this scenario?"

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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"There are eight blocks; 3 forward, 2 left, 2 right, and one blank (doesn't do anything). There are four slots that are to be filled with the blocks, and it should be filled with three forward blocks. Also, there shouldn't be a right/left block, unless they are located as the last block (after the three forward blocks). Visualization are below:

[forward] [forward] [forward] [right] (Success)

[forward] [left] [forward] [forward] (Fail)

[forward] [forward] [right] [forward] (Fail)

The two requirements for success would therefore be three forward blocks, and left/right blocks only positioned at the end. What is the probability of success in this scenario?"

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