Explanation:

- Syphilis: This is a sexually transmitted infection caused by the bacterium Treponema pallidum. It spreads through direct contact with syphilitic sores, typically during sexual activity.

- Hepatitis B: This is a viral infection that affects the liver. It spreads through contact with infectious body fluids, such as blood or semen, typically during unprotected sex or sharing needles.

- AIDS: Acquired Immunodeficiency Syndrome (AIDS) is caused by the human immunodeficiency virus (HIV). HIV spreads through certain body fluids affecting the immune system, often through sexual contact, sharing needles, or from mother to child during birth or breastfeeding.

- Cirrhosis: This is a late stage of scarring (fibrosis) of the liver caused by many forms of liver diseases and conditions, such as hepatitis and chronic alcoholism. It is not contagious.

The correct answer is: Cirrhosis