[b_sharp]

"The probability of the asked for outcome will remain so far out of the reach of the odds of each trial that it will effectively be zero.

True. But this is not an analog to abiogenesis.

[xzins]

disagree. you want the ticket with letters "a-b-i-o-g-e-n-e-s-i-s" sequence to win. That's the winner you chose. I've heard it's got about 10¹⁵⁰⁺ chances to lose and only one to win. Even giving you 15 billion years your ticket has effectively zero chance of winning.