Which of the following best describes current state of the system?

To determine the system state, we apply the Banker's Safety Algorithm:

1. Total Tape Drives = $9$

2. Total Allocated Drives = $3 + 1 + 3 = 7$

3. Available Drives = $9 - 7 = 2$

Now, calculate the remaining need for each process ($\text{Need} = \text{Max} - \text{Allocated}$):

• $\text{Need}(P_1) = 7 - 3 = 4$

• $\text{Need}(P_2) = 6 - 1 = 5$

• $\text{Need}(P_3) = 5 - 3 = 2$

Check for a safe execution sequence:

• Step 1: $\text{Available} = 2$. This satisfies $\text{Need}(P_3) = 2 \le 2$. $P_3$ executes and releases its 3 drives. $\text{New Available} = 2 + 3 = 5$.

• Step 2: With $\text{Available} = 5$, it satisfies $\text{Need}(P_1) = 4 \le 5$. $P_1$ executes and releases its 3 drives. $\text{New Available} = 5 + 3 = 8$.

• Step 3: With $\text{Available} = 8$, it satisfies $\text{Need}(P_2) = 5 \le 8$. $P_2$ completes.

A safe sequence $\langle P_3, P_1, P_2 \rangle$ exists. Since the system is in a Safe state, it is guaranteed to be Not Deadlocked.

Thus, the correct option is (B).