For what it's worth, to me, "it's equally possible" means "it's also possible, however remotely". I know it doesn't make sense, but, then again, neither does "I could care less".

I think in casual speech "equally possible" usually is taken to mean "also possible." I think most people would say "equally likely" to express what you're saying.

Thank you, I am not a native english speaker.

For what it’s worth, I am a native English speaker and I disagree with the other poster. I would interpret “equally possible” similarly to how you did.

Thank you, I suspected as much. That it is at least ambiguous.

Isn’t English fun?

I think “possible” has a less precise connotation than “probable” which suggests some statistics.