A lot of places I read about it and they basically said that it is used to describe an event with high likelihood or probability of happening.
I asked someone who understands japanese and they said: おそらく＝悪い予感 (bad premonition).
The sentence I initially found the word was implying something positive though, so I got confused.
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You’re right, and おそらく isn’t neccesarily negative. For example I can say おそらく良いことが起きるだろう (Something good may happen) and おそらく大丈夫 (probably alright)