Stationary Distribution of a Candy Conveyor Belt Markov Chain

A conveyor belt dispenses two types of candy: chocolate (C) and jelly bean (J). The sequence is generated by a two-state Markov chain with the following transition probabilities: $P(J | C) = \frac{4}{5}, \quad P(C | C) = \frac{1}{5}$ $P(C | J) = \frac{2}{3}, \quad P(J | J) = \frac{1}{3}$ Assuming the chain has been running long enough to reach stationarity, what fraction of candies are jelly beans?