This is the 4534th most frequent Turkish word.
babanın
"Of the father" or "your father's" (possessive form of "baba").
Here, 'babanın' is the possessive form, indicating possession (your father's), derived from the word 'baba' (father).
Babanın arabası çok güzel.
Your father's car is very nice.
In this context, 'babanın' functions as a possessive form to clarify the owner of the statement made (your father's words).
Babanın ne dediğini anladım.
I understood what your father said.
Here, 'babanın' is used to express possession, attributing the mistake to 'your father'. The suffix '-ın' and the personal pronoun imply possession.