probability

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[flat maple]

I’ll assume the square root function does not round up/down

Since the sqrt function is unless until 2 or higher is displayed, we can assume you always get to 2

Sqrt(0) = 0
Sqrt(1) = 1

I was looking at a waterfall

Anyways, from 2 you can go +1 four times in a row to get 6

That has a 1/16 chance of happening

However, notice how sqrt(4) = 2

Meaning you can go +1,+1,sqrt and get back to 2

This has an 1/8 chance

Meaning
-1/16 chance of straight 2 to 6
-1/16 • 1/8 chance of 2-4 then 2-6
-1/6 • 1/64 of 2-4 then 2-4 then 2-6

And so on

As I said earlier, from 0 or 1, you have to get to 2 as sqrt does nothing

No

Yes