You and your best friend are part of a group of 102 students which are to be divided into 3 classes of equal size. The probability that you and your best friend end up in the same class is defined to be the ratio T/A, where: . T-number of ways you and your best friend end up together in the same class, and A-number of ways to divide 102 students into 3 groups of equal size. What is the probability that you and your friend will end up in the same class? (Note: every probability is a number between 0 and 1 which represents the likelihood of a particular outcome; the closer the probability is to 1, the more likely the outcome.) (Enter your answer as a decimal rounded to 4 decimal places.)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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You and your best friend are part of a group of 102 students which are to be divided into 3 classes of equal size.
The probability that you and your best friend end up in the same class is defined to be the ratio T/A, where:
T-number of ways you and your best friend end up together in the same class, and
• A-number of ways to divide 102 students into 3 groups of equal size.
What is the probability that you and your friend will end up in the same class?
(Note: every probability is a number between 0 and 1 which represents the likelihood of a particular outcome; the closer the probability
is to 1, the more likely the outcome.)
(Enter your answer as a decimal rounded to 4 decimal places.)
.
Transcribed Image Text:You and your best friend are part of a group of 102 students which are to be divided into 3 classes of equal size. The probability that you and your best friend end up in the same class is defined to be the ratio T/A, where: T-number of ways you and your best friend end up together in the same class, and • A-number of ways to divide 102 students into 3 groups of equal size. What is the probability that you and your friend will end up in the same class? (Note: every probability is a number between 0 and 1 which represents the likelihood of a particular outcome; the closer the probability is to 1, the more likely the outcome.) (Enter your answer as a decimal rounded to 4 decimal places.) .
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