There is a 51.2% probability that the next winning number will not contain a 0 or a 1. Which means that there is a 48.8% probability that the next winning number will contain either 0 or 1 or the 01 pair. Pretty close to a 50/50 shot.
Shoot, just realized I didn't include 0-1 pairs with the 384 straight numbers. Oh well, you get my point.