**Core Concept**
A posthumous child is a child born after the death of their father. This concept is relevant in the context of inheritance and property rights, particularly in cases where the father's estate or inheritance is involved.

**Why the Correct Answer is Right**
A posthumous child inherits their father's estate and property rights, as they are considered to be the father's legitimate child. This is based on the principle of inheritance by representation, where the child represents the father and inherits their rights and properties. In many jurisdictions, including India, a posthumous child is entitled to a share of their father's estate, including property and other assets.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect as it does not accurately describe the inheritance rights of a posthumous child.

**Option B:** This option is incorrect as it is not relevant to the inheritance rights of a posthumous child.

**Option C:** This option is incorrect as it does not accurately describe the inheritance rights of a posthumous child.

**Clinical Pearl / High-Yield Fact**
In the context of inheritance and property rights, a posthumous child is considered to be the father's legitimate child and is entitled to a share of their estate, including property and other assets.

**Correct Answer: D.**