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 in between the forward blocks, unless they are located on the last block. The two requirements for success would therefore be three forward blocks, and leftright 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 in between the forward blocks, unless they
are located on the last block.
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?
Transcribed Image Text: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 in between the forward blocks, unless they are located on the last block. 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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