Stephen Hawking: If the rate of the universe's expansion one second after the Big Bang had been smaller by even one part in 1015 the universe would have re-collapsed.
P.C.W. Davies: The odds against the initial conditions being suitable for star formation is 101021. If they were any higher than what they were the universe expands too fast so no stars or planets are formed and if they are any less then the universe collapses in on itself.
P.C.W. Davies: A change in the strength of gravity or the weak force by one part in 10100 would have prevented a life-permitting universe.
Roger Penrose: Odds of the Big Bang's low entropy condition existing by chance are on the order of one out of 101230
Now for life to exist – the range of values permitting this to happen are even smaller almost inconceivably so than the big bang itself – so the Universe has far greater chance of existing without life than it does with life. In fact it’s a reverse argument – It would actually be more likely for the universe to not exist and for there to be no life. Therefore the Universe does not have to be the way it is and so did not come about by chance.
According to John D. Barrow and Frank J. Tipler, the odds of assembling a single gene are between and 4180 to 4360. Therefore we simply have not had enough time on earth to give any credibility to chance based evolution.
Genes – The average gene has 500 bits of function information with the simplest life forms having at least 150 genes. That would be (500*150) 75000 bits of functional information – the probability for this to come about by chance would be 11023000
The existence of the Universe, in the way that it does - is due to chance, natural law or design! However when we deconstruct each option (based on the aforementioned) we realise that:
Natural law doesn’t necessitate the big bang or life (the way things have happened is not natural as it is more likely that the world should not be the way it is nor that life should exist)
We therefore realistically, only have the option of purposeful design by The Creator.