tldr: I think its on a timer.
Hello, so I've been sick in bed playing this silly little wolf game for a few days now and the wild wolf encounter event is obviously a really rare event but I've noticed some patters.
I'll start out with saying, no I don't know the odds. I've probably had the event happen like 10+ times now and they all failed.
but some other things I have noticed is when the event happens you will get it a second time not long after.
What I've also noticed, is regardless of if you are constantly exploring and burning through events like crazy or if you just hopped on for the day and have been through a couple energy bars of exploring. It always takes at least a few hours since you're last encounter with the event.
And this makes since game balance wise.
On Lorwolf you can explore constantly, you earn back enough food while exploring to maintain said wolf's energy (and then some). There's nothing really to stop you and take a break. So this means that a player who's able to spend a lot of time exploring would experience way greater odds at not only encountering this event but eventually being successful with the event when compared to some one who can only spend a couple hours each day.
But now when you put the event on a timer and give it a bit more rare odds than the other events. Now both these players are on even footing as to how often they could possibly recruit a new wolf.
I'd also argue the event isn't actually even that rare, its just a timer making it feel that way.
sadly I haven't gone the spread sheets deep into this trying to figure it out, especially how long the timer is but I suspect its anywhere from 1-3 hours with 2 hours being my safe guess if you want to try farming this with the timer in mind. I could be totally off too and it could be closer to 4-5 hours, Ive been sick the past few days so my concept of time passing is messed up.
Another random thing about it I noticed is that my first day playing this, I never got the event. The second day I got twice right away in the morning. This kinda reinforces the timer theory too as it would discourage players from spam making accounts just to farm this encounter.
If any one wants to try farming it with the timer in mind I would recommend waiting 2-3 hours after you last got it and if you get it once keep going because you should encounter it again a second time soon after!!
If anybody happens upon this and reads it I would love to know your thoughts and experiences, Ill likely try and add updates too if we get some more solid feedback / research.