Hi, all. I am not sure I put this put in the right category, but I'll ask anyways.

The problem I am stuck on tells me to consider a small machine with only two cups. And for that small machine I have to find out the probability of a ball landing in each cup. Then, I have to repeat this process for other machines with 3, 4, and 5 cups. From there I have to use any pattern I see and derive an expression for the probability of landing in the i^th cup from the left in a machine with n cups.

We also have to right the probabilities as fractions (not simplified) so we can find patterns.

Does anyone mind helping me with this?

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