The idiom - "wash your hands of something" means:

The correct answer is Option (4) → to have nothing to do with

To wash one's hands of something or someone means to refuse to have anything more to do with it and to take no further responsibility for it. The phrase goes back to Pontius Pilate, who washed his hands in public to show that he was not responsible for the death of Jesus.
Example: After his son ignored all advice, the father washed his hands of the business.