In an infinite universe must even impossible events happen at least once?

Found : In an infinite universe must even impossible events happen at least once?

As for the OP, you'll want to read Many Worlds in One [2006] by Alex Vilenkin. Like frog march, Vilenkin posits that "if something has a non-zero chance of happening in a universe that is infinite and with infinite time, then not only will it happen, it will happen an infinite number of times."