Z transform stability What is the causality &amp; stability status for three cases shown (aso in attached photo) ?

$$H(z) = \frac{z(z-1)}{(z+1)(z+\frac{1}{3})} $$

for three possible regions of convergence as:

a-) |z| > 1

b-) |z| &lt; 1/3

c-) 1/3 &lt; |z| &lt; 1

Am i ok as below?

a) Causal &amp; marginally stable

b) anti-causal &amp; unstable

c) non-causal &amp; marginally stable
Yes, all answers given by you are fine. 

Causal: If ROC is outside the outermost pole

Left sided: If ROC is inside the innermost pole

Stable: If ROC contains the unit circle (marginally stable if it touches unit circle)