You and your best friend are part of a group of 117 students which are to be divided into 3 classes of equal size. The p

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You and your best friend are part of a group of 117 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 117 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 O and 1 which represents the likelihood of a particular outcome; the closer the probability
is to 1, the more likely the outcome.)