Suppose that n balls are randomly distributed into N

Chapter 2, Problem 51P

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QUESTION:

Suppose that \(n\) balls are randomly distributed into \(N\) compartments. Find the probability that \(m\) balls will fall into the first compartment. Assume that all \(N^{n}\) arrangements are equally likely.

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QUESTION:

Suppose that \(n\) balls are randomly distributed into \(N\) compartments. Find the probability that \(m\) balls will fall into the first compartment. Assume that all \(N^{n}\) arrangements are equally likely.

ANSWER:

Step 1 of 2

From the given problem we have ‘n’ balls and they are randomly distributed into N compartments.

We need to find the probability that ‘m’ balls will fall into the first compartment.

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