The answers to the scenarios are:
- Scenario 1: \( a \)
- Scenario 2: \( a \)
- Scenario 3: \( b \)
Thus, the final answer is:
\[
\boxed{
\begin{align_}
\text{Scenario 1:} & \quad a \\
\text{Scenario 2:} & \quad a \\
\text{Scenario 3:} & \quad b \\
\end{align_}
}
\]