Concept:
Various psychological assessment tools are used in sports psychology to evaluate athletes' mental skills, coping abilities, and performance strategies.
• Troutwine Athlete Profile is associated with Bob Troutwine.
• Psychological Skill Inventory was developed by Mahoney et al.
• Athletic Coping Skills Inventory is associated with Smith et al.
• Test of Performance Strategies is associated with Thomas et al.
Step 1: Match each inventory or test with its developer.
\[
\begin{aligned}
\text{Troutwine Athlete Profile} &\rightarrow \text{Bob Trout wine}
\text{Psychological Skill Inventory} &\rightarrow \text{Mahoney etal}
\text{Athletic Coping Skills Inventory} &\rightarrow \text{Smith et-al}
\text{Test of Performance Strategies} &\rightarrow \text{Thomas et-al}
\end{aligned}
\]
Step 2: Write the correct matching sequence.
Thus, the correct matching is:
\[
A-II,\ B-I,\ C-IV,\ D-III
\]
Hence, the correct answer is:
\[
\boxed{(B)\ A\text{-}II,\ B\text{-}I,\ C\text{-}IV,\ D\text{-}III}
\]