In this question, we can conclude that markov chain is irreducible. If a markov chain is irreducible then all it's states are aperiodic. And A state is said to be periodic if return to state is possible in no of steps that is a multiple of d, with d>1. Since it is aperiodic shouldn't be the period 0 or 1?
Hi Your second line is incorrect - a Markov chain can be irreducible and not aperiodic. Indeed this question provides an example if of this. Each state can be reached from any other hence it is irreducible However return to any starting state can only be done in an even number of steps, and it turns out the highest common factor for return times is 2 - hence this system has period 2 Dave
