Two players $\mathrm{A}$ and $\mathrm{B}$ of equal skill are playing a match. The first one to win $4$ rounds wins the match. Both players are equally likely to win each round independent of the outcomes of the other rounds. After $3$ rounds, $\mathrm{A}$ has won $2$ rounds and $\mathrm{B}$ has won $1$ round. Conditioned on this, what is the conditional probability that $\mathrm{A}$ wins the match?
- $5 / 8$
- $2 / 3$
- $11 / 16$
- $5 / 7$
- None of the above