Going offtopic here, but I feel like in a hair splitting mood.
Technically eternity doesn't guarantee that everything conceivable and unconceivable will happen. You might wait for one googol years, and still you won't have your purple unicorn, then the googols of years just pass away, and you're still walking, waiting for your coloured friend to arrive (a case similar to you-know-what). Just like you might toss a regular coin a thousand times, and it lands every time on head. Given eternity throws the equations off the charts, and for all intents and purposes the probability of any given event will be 100%, yet it's still a thought away from reaching 100%.
We don't have to wait for eternity to arrive to us to have fun with it, we have it at our hands. PI for example is an irrational number that goes on forever. Given its infinite length, you may conclude that PI has hidden in itself a song... or a poem... or the answer to life, the universe and everything (oh wait, I'm pretty sure PI contains 42). Good hunting