Probability help - Galton Board Question (1 Viewer)

iamgonnaflunklol

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Hi all,

I've been given a question on an assignment that I'm really struggling with. For some background, the question is based on a Galton Board, where basically a ball falls onto pegs and has a 50% chance to bounce left or right. That's easy to understand and the probabilities are simple. However, the issue I'm having is with the question.

"There are 7 cells at the top of the wall and 15 at the base. The number of cells in each row increases from 7 to 15 and thereafter, the wall is rectangular. There are 20 rows in total."

I need help for how to calculate the probability it will finish in a certain row. The wall being rectangular makes the equation more difficult.

Any help is appreciated!

Thanks in advance!
 

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