According to the math of fellow usenet contributor Ira, your chances of drawing a particular vampire in your opening crypt draw, depending on how many you have in your crypt, are (assuming a crypt of 12 vampires):

1 copy in the crypt = 33% chance of at least one in the opening draw
2 copies in the crypt = 58% chance of at least one in the opening draw
3 copies in the crypt = 75% chance of at least one in the opening draw
4 copies in the crypt = 86% chance of at least one in the opening draw
5 copies in the crypt = 93% chance of at least one in the opening draw
6 copies in the crypt = 97% chance of at least one in the opening draw
7 copies in the crypt = 99% chance of at least one in the opening draw

So my deck with 5 of The Baron in it only has a 7% chance of being hosed from the get go!