use a select to get the reminder.eventid for all records in the events table that have groupid=10001.
Contactenate all those eventid's into one big comma seperated list like this:
(1,2,3,4)
then use that in your DELETE statement:L
DELETE FROM Reminder WHERE EventID IN $string_of_ids;
so the query ends up like this:
DELETE FROM Reminder WHERE EventID IN (1,2,3,4);