Thread: Markov Chain Problem

Consider two dogs (Spot and Lassie) suffering from a total number of fleas. Spot initially has fleas and Lassie initially has the remaining The fleas have
agreed on the following immigration policy: at times a flea is selected uniformly at random from the total population and that
flea will jump from one dog to the other.

Describe the flea population on Spot as a Markov chain and find the stationary distribution of the chain.

I have tried and tried to work this out. I feel like crying.

I know its a birth death process, and based on Ehrenfest's diffusion model, but I have been trying to work this problem out for a week now and have not solved anything. Can anyone please help