Very low indeed. Chance of SHA1 collision is of the order of 2^52. One person explained it this way: Chance of everyone currently on Earth winning a jackpot in their lifetime is actually higher than a single random SHA1 collision. It should be actually mind boggling how many of the software systems and algorithms rely on hashes and them being not collided.
In any case, I believe he was joking. The odds of a sha1 collision are very very low.