The word ‘probate’ is derived from the Latin phrase “prove it” and a Grant of Probate is what has to be obtained when a Will is proved i.e. submitted to the court after someone has died.
Therefore, you only ever get a Grant of Probate when someone has died having made a Will.
If someone dies without making a Will, then they are said to have died ‘intestate’ and in this case, the Grant from the court is called ‘Letters of Administration’.
Generally, the court order enabling the personal representatives to deal with an estate is called the Grant of Representation, however for ease of reference, most people refer to the Grant as a Grant of Probate