Olbers' paradox is based upon the false impression of an infinite universe. It supposes that everything has always existed. If such were true, then the sky would be uniformly bright. No matter in which way you look, there would be a star. The Big Bang eliminates that concept, because you can only look as far in space as you can look back in time. The 45 billion years or so that has elapsed since then is not long enough for sufficient star formation to cause infinite light creation. Moreover, the total energy content of the universe precludes the possibility of it ever happening.