Do either of you know binomial probability?
@DarkVoid If it's more likely, then why don't you update the answer? It absolutely does affect the final result. (It would not be like a countdown, either -- the chance of finding at least one shiny trends toward 100% with infinite trials, but it is never guaranteed.)
@GmaxWaluigi Repeated trials don't have this effect. Following the logic that you just multiply the chance of success by the number of trials, you could guarantee seeing a heads with only two coin flips, like so: 2*(1/2)=1. You need to use the binomial distribution.