Anyone tell me what the fuck is going on?

No.12458361 ViewReplyOriginalReport
https://mcspeedrun.com/dream.pdf

>Say we take a random number gen that has a 4.73% of chosing the number 1
>After running the gen 263 times, it choses 1 42 times.
>According to this document, through binomial distribution the odds of that happening is 1 in 177,000,000,000

>Say we have a coin
>The coin is flipped 305 times
>It lands on heads 211 times
>According to this doc, the odds of that happening through binomial distribution (plus factoring whatever the fuck the stopping rule is) is 1 in 133,000,000,000

>According to doc, the odds of all this happening is 1 in 678,000,000,000,000
>But factoring p-hacking(Whatever the fuck that is) the odds are 1 in 7,500,000,000,000

is there any mathematician here autistic enough to verify the math going on in this doc?