The way DSaF handles random events is kinda weird, but here's a guide so it's easier to follow for some routes

Every random event pulls from the numbers in the range of 0-25. If it hits a one or a zero, it initiates a second roll to determine the random event that will happen which is in a range of 0-11

If it rolls a five, nothing will happen. This was forgotten in the random event pool

If it rolls a zero, it will be the bullies

If it rolls a one, it will be a random doggo

If it rolls a two, it will be a random doggo with the Fredbear hat

If it rolls a three, it will be Blackjack/Shadow Dogger

If it rolls a four and you've refused Dave's offer, it will be him in the Honey Monster suit. If you've accepted Dave's offer, this will do nothing

If it rolls a six, it will be the Health Inspector. If you've gotten rid of the Health Inspector already, nothing will happen

If it rolls a seven or above, it will show Golden Freddy. If you've already encountered Golden Freddy, it will roll another number. If it rolls a zero, it will show the encounter again. If it rolls anything else, nothing will happen

If it rolls above a 9, it will be the random Phone Guy encounters depending on which day you're on. If you are on day one, he will check if you are wearing the Cool Cat suit. If you are on day two, he will mention Dave in the Honey Monster suit. If you are on day three, he will check if you are wearing the Cool Cat suit as well as talk about the police around. These can only happen once per day. These also have a chance of activating Golden Freddy.

You can get multiple random encounters in one day, I'm pretty sure

If I'm wrong about any of this, do let me know!