The chance of the universe being life-permitting instead of life-prohibiting are astronomically low. There are several universal constants and quantities, all of them which fall into a microscopically narrow life-permitting range. If any of these numbers were different by even the smallest humanly conceivable amount, no physical material life of any kind could ever develop anywhere in the universe. The gravitational constant, for example, falls into an extremely narrow life-emitting range. (Its life-permitting range is actually one of the widest. The cosmological constant has a life-permitting range that is equal to the square of the gravitational constant's range, which means that the cosmological constant has a much narrower life-permitting range, because positive numbers less than one become smaller when squared)
If the value of the gravitational constant was larger or smaller than its actual value by an amount even as small as 1 in 10 to the 60 (1 in one novemdecillion or 0.1 with 59 zeros between the decimal point and the 1), no life physical life could exist in the universe.
The cosmological constant is even narrower. If its value had been larger or smaller than its actual value by even 1 in 10 the 120th power (1 in one noventrigintillion or 0.1 with 119 zeros between the decimal point and the 1), no stars would exist because the universe would have either expanded too quickly and thinned out or expanded too slowly and collapsed back in on itself.
With these two constants alone (there are several more, each one with infinitesimally narrow life-permitting ranges), the chance of the universe being live-permitting instead of life-prohibiting are already down to 1 in 10^180 ( 1 in one novemquinquagintillion or 0.1 with 197 zeros between the decimal point and the 1). 1 in 10^180 is 10^130 times less than 1 in 10^50. According to one expert on statistics, anything that has a chance of occurring of less than 1 in 10^50 will never happen under natural means. This means that 1 in 10^50 is the lowest form of "statistically improbable but still naturally possible), and any chance that is less is falls into the category of "statistically impossible under natural means.
The universe being life-permitting instead of life-prohibiting falls into the second category. This means that the universe being life-permitting instead of life-prohibiting is statistically impossible under natural means. Yet the universe is life-permitting.