"At random" is an expression that denotes the idea of doing something without any particular plan or purpose. This phrase can be used in various contexts such as selecting a winner from a group of people or picking a particular item from a list. Some other synonyms for this phrase are haphazard, chance, or arbitrary. Haphazard suggests that something is disorganized, without any clear structure, while chance refers to an event that's unpredictable. An arbitrary act is one that is based on personal preference rather than any objective criteria. Regardless of the context, all of these phrases convey the idea of something that's been done without any particular direction or focus.