Mathematician William Dembski calculated that if the probability of something occurring is less than one in 10 to the 150th power, it has no possibility of happening by chance at any time by any conceivable process throughout all of cosmic history.
Dembski has, alas, abandoned mathematics for lunacy.
You have his bound wrong ... it's supposed to be 1 in 10
500. Either way it's ludicrously wrong. Get four decks of cards. Shuffle them together. Lay them out face up on the floor. The probability of the arrangement you are looking at is much less than 1 in 10
500. Reflect on whether the arrangement you are looking at is possible or impossible. Reflect on whether the event you just witnessed happened by chance at any time. (Hint: the answers are "possible" and "yes", respectively.) You can witness events that you claim are impossible in your own home!
He further estimates that the probability of evolving the first cell is no better than one in 10 to the 4,478,146 power.
Garbage in, garbage out. Nobody knows enough to calculate the probability of the first cell evolving. Dembski calculated the probability of the first cell
appearing by chance (which no-one proposes as a possibility) rather than evolution (which is far more than chance). He compounded his mistake by assuming a
particular way in which the cell assembled by chance instead of considering
all possilbe ways, making an already wrong calculation even more wrong. (Of course, nobody knows all the ways that a cell could have assembled by chance, either).
All such calculations are wrong, no matter who does them.