Devise an example of a Markov chain with two absorbing states 1,2 and three transient states \(3,4,5\) in which the transient states have self-loops, and the probability that, starting from each transient state, the chain is eventually absorbed in state 1 is \(1 / 2\) and the probability that it is eventually absorbed in state 2 is also \(1 / 2\).