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A game of Plinko is played by dropping a ball at the top-middle of a set of pegs. Each time the ball hits a peg, it has a 1/2 probability of deflecting either to the left or to the right. What is the probability that the ball lands in the middle slot as shown in the diagram (the red line)?

 Jan 10, 2019
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Do you intend a finite width setup as pictured?

 

In this case the pegs at either end only deflect back towards the center.

 Jan 11, 2019

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