It depends on the parents. In this case both were album and it worked:
http://orchid-lin.blogspot.com/2009/06/paphiopedilum-wild-thing-fma-album.html
Oh my. That is striking! And what luck that the alba genes were compatible.
If I am not mistaken an albanistic St Swithin is in seedling from Norito. We will see if 1/4 come out albums.
If they have the same gene for albanism, and its resessive, and the exact same mutation then one should get all of them being albino. On the other hand, if the genes are different then none will be albino. But a selfing of that generaion would give 1/8 to 1/16th will be albino. If the alba mutation is dominant in both or either parent than one has a 100% to 50/50 chance of albinos. My point: this would be a silly bet unless one knows the genetics. Chatting with the Phal breeders, there are multiple paths to albino and almost always the albino mutation is in a different gene from species to species.
This is pretty much why I would tend to line breeding over making alba x alba crosses. At least in line breeding you have some idea of the starting material while alba genetics is a big guess.
On idea, to avoid inbreeding depression, would be to set out with several multiflorals (i.e. (1) kolopakingii (flower count), (2) philippinense (vigor + flower count), (3) rothschildianum (size + flower count) and cross each to, for instance, (4) niveum and the cross the progeny working towards several large clean white flowers per stem. My idea would be:
F1s: (5) 1 x 4, (6) 2 x 4, (7) 3 x 4
F2s: (8) 5 x 6 for vigour and flower count and (9) 6 x 7 for vigour and size
F3: 8 x 9 to give (10) which would ideally have several large white flowers on vigourous plant. This is, of course, wishful thinking. Even if every seed were sown and every plant grown out (who among us has the space! :crazy to blooming I doubt anyone would strike it this lucky first go. One would probably have to play around witht he F1 progeny a bit before moving on to stage 2.
Well, I think I've been enough of a wet blanket.