Step 3: Calculate the conditional probabilityThe probability is the number of favorable outcomes within the condition divided by the total number of outcomes within the condition:\(P(\text{Plays\ instrument}|\text{Not\ in\ band})=\frac{\text{Number\ who\ play\ instrument\ AND\ not\ in\ band}}{\text{Total\ number\ not\ in\ band}}\)\(P(\text{Plays\ instrument}|\text{Not\ in\ band})=\frac{\mathbf{5}}{\mathbf{30}}\)Answer:The probability is (B) \(\frac{\mathbf{5}}{\mathbf{30}}\)