A good short synapsis of the fact that we live in a "Goldilocks Universe" ... not too hot, not too cold ... or "too" a whole bunch of stuff, but JUST RIGHT. How can that be if it is all "random"?
Well, the easy answer is that God created it that way, but that is never good enough for the REALLY REALLY smart among us. As Hawking says at the end:
Each universe has many possible histories and many possible states. Only a very few would allow creatures like us to exist. Although we are puny and insignificant on the scale of the cosmos, this makes us in a sense the lords of creation.
Were one to accept even the strong potential of a creator infinitely smarter than even Hawking, Hawking would no longer be "lord of creation". Given Hawking's physical state, this would seem to prove that the human mind is the source of hubris, not the body.
So how is the new level of "just right" explained, now that Carl Sagan's "billions of stars" that used to be the explanation has proved too small? Easy ... way, way, way, way .... way, more UNIVERSES than even billions x billions ... 10 to the 400th is a postulated number of universes "theorized" (imagined?) at this point.
What is my prediction? Well, it used to be "enough time", then it was "enough time and enough systems" ... but the more we learn, the more it looks impossible with even the time and space that we can see that we could happen, so we are now "scientifically" postulating 10 to the 400th universes with no current way to verify in order to say "there is no god" with a semi-straight face.
BUT, I strongly bet that if we manage to create say a quantum computer, that allows us to see vastly more than we do now, and it turns out that 10 to the 400th is still not enough, I wager there will be some amazingly larger number of "meta-universes" ... or "sub-universes" or maybe "string dimensions" that allow it to be "clear" that God really isn't necessary after all and at least the REALLY REALLY "smart" among us are "lords of creation".
No matter how far we "advance", there we are.