Hint: Thjnk about whether each layer probability is independent of the result at the layer before (In independent situations P(A and B) = P(A)P(B)).
Originally Posted by testtrail429
Please see the attachment for the problem.
In addition to chiro's comment, think about how many ways you can get to the middle slot, how many ways can you get to the others? Having calculated this, how could this help you think about the probabilities of each one?