Which of the following algorithms is used to avoid deadlock?Dynamic Programming algorithmPrimality algorithmsBanker's algorithmDeadlock algorithm

Step 1: Break Down the Problem

To answer the question, we need to identify the algorithm from the provided options that is specifically designed to avoid deadlock in computing systems.

Step 2: Relevant Concepts

1. Deadlock: A situation in computing where two or more processes cannot proceed because each is waiting for the other to release resources.
2. Banker's Algorithm: This is a well-known deadlock avoidance algorithm used in multiprogramming environments to manage resource allocation.

Step 3: Analysis and Detail

• Dynamic Programming Algorithm: This is a method for solving complex problems by breaking them down into simpler subproblems, but it is not specifically related to deadlock avoidance.
• Primality Algorithms: These are used to determine whether a number is prime and are unrelated to deadlocks.
• Banker's Algorithm: This algorithm checks whether resource allocation requests will leave the system in a safe state, thus effectively avoiding deadlock by ensuring that resources are only granted if they do not lead to a deadlock situation.
• Deadlock Algorithm: While this could refer to techniques dealing with deadlocks, the name itself doesn't specify an avoidance strategy.

Step 4: Verify and Summarize

In conclusion, the only algorithm among the options provided that is explicitly used to avoid deadlock is the Banker's Algorithm. Dynamic Programming and Primality algorithms do not relate to deadlock management, while “Deadlock algorithm” does not specify a typical avoidance method.

Final Answer

Banker's Algorithm is the algorithm used to avoid deadlock.