Markov chains can be used to model many games of chance.
A random walk on a graph is a very special case of a Markov chain.
There have also been other algorithms based on Markov chains.
The Markov chain also can be applied in pattern recognition.
The represents the change of the health condition in the underlying Markov chain.
The username is a play on the words "Markov chain".
Frequently, these problems will then be reduced to others involving independent Markov chains.
Usually it is not hard to construct a Markov chain with the desired properties.
In other words, the path followed by the Markov chain of hidden states will be highly random.
Markov chains form a common context for applications in probability theory.