Is this a ergodic channel? Please help!

A two-input (x1, x2) and one-output (y) channel is given by the figure where the
switch toggle between r1 and r2 randomly with probability p (to be in r1) and 1-p to be in r2. The switch toggles its position per symbol.
Is the above channel an ergodic channel? Why?

Please help. Thank u!