Buddy, Hawkingdoes not support the 'fine tuning' argument. He also knows that you can not calculate the probability of things being the way they are.
What is the probability of an omniscient god magically popping into existence and creating a universe with you in it by the way? (Please show the math, I would love to see the calculation here. And when you show the calculation for the mathematical probability of your creator god, we can compare it to your probability calculations for the naturalistic universe ok?)
'if you have enough random iterations, you will be bound to get a universe like ours eventually' his argument- not mine
we have creative intelligence, we know it exists in this universe, many including Andre Linde (principle in modern inflationary theory) think it 'feasible' we can one day create our own universe, and that this could be where ours came from- an experiment in an 'alien universe'
this would be just one way a universe could be created through intelligent design, and if we succeed, the probability is 1:1.... while the odds of arbitrarily arriving at values for the universal constants needed to merely create space/time far less sentient life are staggeringly low- meaning lots and lots of zeros, sorry there is not an exact number you can look up on wiki- but again Hawking has it at infinity to one for all practical purposes- so it would be a good question for him
and that's the real kicker with what's left of atheist models;
Any lotto machine powerful enough to create this universe, would have to have a 'safety mechanism' forbidding it to ever create anything resembling a 'God' directly on indirectly, which would go on to make universes intentionally with a far higher success rate than the lotto machine, defeating the whole point of the theory.
And this appears already feasible in just this 1 example of an 'accidental' universe, you'd have to rule it out ever happening here or in any other to assume ours is the special original 'immaculate conception' and not just manufactured, atheist belief would appeal to a comfortable sense of being 'special' here?