Considering that the universe is either infinite or at least Douglas Adams style big, surely the likelyhood of there being a star in every possible direction is high. Light in a vacuum for millions or billions of years is still light.
This is [Olbers’ Paradox](https://en.wikipedia.org/wiki/Olbers%27_paradox). Another part of the answer is the expansion of the universe, and the consequent red shift of light from distant sources.
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