How does random number probabilities work in distributed systems? Let's say I have a code which does coin toss at 25% win probability.

If I run this code n number of times in the same system it will yield ~25% win.
If I run this code on n devices (once each) will the result be ~25%.

n = very large number.
Are my assertions right?
Edit:My key doubt was, since computers use pseudo random numbers (which are based on a seed), will this affect this assertion (especially #2)
Yes - this is a consequence of the Law of Large Numbers.  https://en.wikipedia.org/wiki/Law_of_large_numbers
Yes - it still holds for pseudorandom number generators if they are any good.
Seed each PRNG independently.