Hack. They're random, you can't make them happen.

You can't hack runescape. Random events are called random events because there random. You can't force a random event.

Idk if its true, but i've heard that you get random events often when you're burying bones.

Every random event is triggered by what you have been doing
example:
Trying to level up prayer, you bury a lot of bones, you get the graveyard random event

Kill people in a dumb way an you get the test, get 3 answers right and u pass

every Random Event isnt random u know lol its always a % u get it every action u do gives ua % I.E if u pickpocket or Steal ur % in getting one related 2 Thiving will go up if your training Combat Level with Att Strn or Def then the Demon Sargent 1 will appear ect

Log on during bonus xp weekend.

I've heard that you get more random events when you don't talk for a long period of time, but that's just a rumor I heard.

Random events are designed to catch botters. The best methods would be to do activities which botters do alot, such as mining rune essance, alchemy, or fishing and mining.

I get a random even after dungeoneering and home teleporting from daemonheim, every time. This drives me crazy, because I hate randoms. This method may not be as effective/precise as you're looking for but it does work for me. Upon completion of a large dungeon with team, home tele and random may occur.