I think it would be $(C)$
What would happen according to me,
After first collision occurs, $A$ chooses from $\left \{ 0,1\right \}$ and same for $B$
Now, as $A$ won the first backoff race as it chooses $0$ and $B$ chooses $1$, so after $2^{nd}$ collision it still chooses from $\left \{0,1 \right\}$ but $B$ has to choose from $\left \{ 0,1,2,3\right \}$
See here