Is Spock sterile?

First things first, the Unicorn's rating for the new Star Trek movie:

Overall Scale: 4.5 out of 5 Pon Farrs

Things blow up. Kirk and Spock fight aliens. Chekov and Scotty show off their funny accents. A few space babes, but its not the same when Kirk isn't wearing a girdle. There were no debates about morality or the prime directive, maybe next time (there was too much stuff to blow up this time).

Now, for our post-movie discussion topic. Its no spoiler to say that Spock is half-Vulcan, half-Human. According to my calculations, there is only a 1.5 x 10^-22 chance that Humans and Vulcans have fully compatible chromosomes (and I am of course taking into account the common galactic origin of humanoids). This means he is likely sterile. It has not escaped our attention that this may have consequences for Pon Farr. I hope that the new Star Trek series will properly explore the angsty new Spock's conflicting urges. It would certainly be logical.