The phrase "bail out" can have a few different meanings, but let's start with the most common ones.
To Remove Water from a Boat: The original meaning of "bail out" comes from boating. When a boat takes on water (if it starts to fill with water), people can "bail out" the water by using a container to scoop it out and throw it over the side.
To Help Someone or Something Out of a Difficult Situation: In a figurative sense, "bail out" can mean to assist someone in a tough situation, especially in financial contexts.
As mentioned, "bail" in a legal context means to release someone from custody by paying a certain amount of money.
Bail out of something: This can mean to avoid a responsibility or to leave a situation quickly.
"Bail out" is a versatile phrase used in both literal and figurative contexts. It can refer to removing water from a boat or helping someone out of a difficult situation.