Well in F2P Karamja Fishing spot (in highly populated worlds) I've Gotten like 10 Frog Event randoms in one day.

 

 

 

 

 

 

 

In P2P Catherby fishing spot (again, in highly populated worlds) I've gotten like 5 MoMs, 1 mime, and 3 swarms.

 

 

 

 

 

 

 

Note that these are all in one day of fishing...

 

 

 

 

 

 

 

Also I read somewhere that Randoms occur while yo are training, skilling etc. and i noticed that whenever there are highly populated areas at a fishing or mining spots (or any skilling spots for that matter) There will be a higher chance of getting even more randoms...It happend alot to me when i used to f2p fish at karamja...I mean, people got frog randoms like crazy! \

 

 

 

 

 

 

 

What are your favorite skilling/training spots for randoms?

Draynor fishing/woodcutting spot is great, u will always see someone running from an tree spirit, river troll, etc. Last time i went fishing there i got like 5 random events in a hour lol. (Evil Bob, Frogs, River Troll, Evil Chicken, MoM)

In F2p, while you're burying bones at the Mossies in Crandor, there's usually a lot of randoms.

i actually got alot of randoms when i was killing hill giants in f2p thats how i got my full camo