I agree with your probability of 40% (or 45?) that Bitcoin reaches $120k+ in 2022. That sounds good. fairly bullish in my opinion. As there are lots of scenarios in the other 60% (35?) where Bitcoin makes it to somewhere north of 80.
But I will add a prediction of my own.
*IF* we make it to 120k... a quarter mill within 6 months from that would be a 75% chance.
My basic reasoning is if we can make it that far past 100k, then I would think something between worldwide FOMO and a parabolic blow off are in the cards. And I would favor the former. I think we stay volatile, but less so that in past years. Another way to say it is I see 120k+ to be a 25% chance of being the TOP in your 40% chance scenario.