PS NS @Probability of transition
1 1 \(\frac{1}{5}\times 1+\frac{10}{15}\) (repeat the sampling in case of rejecting)
1 2 \(\frac{4}{5}\times\frac{1}{6}\)
2 1 \(\frac{1}{5}\times 1\)
2 2 \(\frac{4}{5}\times 1\)