How is Olbers paradox resolved by the Big Bang?
The Big Bang theory states that the Universe had a birth: it has not existed forever. The universe may or may not be spatially infinite, but it is most definitely not static. In the Big Bang picture, some of the stars in the (possibly infinite) universe are beyond our cosmological horizon due to the universe’s expansion. So if you look along some line of sight, eventually you will run out of stars to see.
