Help solving Bigram Model with the following probabilities
I think brute force is the only method. There might be some complicated reductions but that would be outside the scope of the tutorial.

Brute force isn't unreasonable here since there are only 46656 possible combinations. Even python should iterate through it in a couple of seconds.

This is straight forward tree-search problem, where each node's values is a conditional probability. The hardest part of it is having to manually type all the conditional probabilities in.