As per Lawkidunya, Admission and Confession are two words that are often used interchangeably, but they do have slightly different meanings.
An admission is an act of acknowledging or accepting that something is true or valid. For example, someone might make an admission that they made a mistake or that they have a particular belief or opinion.
A confession, on the other hand, is an admission of guilt or responsibility for a particular act or crime. A confession is typically made when someone admits to committing a wrongdoing or to being involved in something that is wrong or illegal.
In summary, an admission is a general acknowledgement of something, while a confession is a specific admission of guilt or wrongdoing.