If Stars Were Infinite, the Night Sky Should Be Blinding White. It's Dark Because the Universe Has a Beginning — and Is Expanding
If the universe held infinite stars, every line of sight should eventually hit one, and the sky should blaze white. It stays dark because the universe is roughly 13.8 billion years old — so light from the most distant stars hasn't arrived yet — and because expansion stretches the light that does reach us into wavelengths we can't see. The whole sky is still glowing, in fact, just as invisible microwaves at 2.7 degrees above absolute zero.