>>12512161I misread the number in OP's image as 1 in 7.5 billion and not 7.5 trillion. I therefore mistakenly understood OP's question as meaning what's the probability that someone can be as lucky as to succeed in a 1 in 7.5 billion chance to win game.
I calculated the probability that at least 1 person out of all the population of the Earth would win if each person played this game once.
You can think of it as a lottery in which everyone in Earth (say population N) is entered with each person having a 1/N probability of winning, but there can be zero, one or multiple winners, and each person's win/loss is independent of everyone else.
In this case, there would be about a 0.63 chance of there being at least 1 winner, since the probability of at least 1 winner is 1 minus the probability that there are no winners.
The probability of not winning is 1-1/N, and the probability of nobody winning is (1-1/N)^N since there are N independent games, and each of them must result in a loss for no winners. Then, finally the probability of at least 1 winner is 1 - (1-1/N)^N. Since N is large, this expression actually doesn't depend on N, as it tends towards its limit: recall the limit of exponential growth
, here we have x = -1, thus the final expression, which is about 0.63.
Of course, now I know the actual context of OP's question relating to minecraft drama, I see my reply was irrelevant but hey there you are.
