We show why there is a huge disparity between the radiation and Bekenstein-
Hawking entropies of the universe today. We explain why this disparity does
not tell us that the universe is in a highly improbable state. The coincid
ence of the classical and quantum entropies for black holes with Hawking li
fetime equal to the age of the universe, and hence of radius equal to the p
roton size, is shown to a consequence of observing the universe at the main
-sequence lifetime.