Hearthpwn

drawing 2 Faceless before using pocket galaxy -> fail

drawing 1 Faceless before using pocket galaxy is also a fail because

Two Apperentice(4 mana) + One Faceless with 1 mana (1 mana) + One Faceless with 5 mana(5mana) + Antonidas (1mana) = 11 mana 

drawing Antonidas  before using pocket galaxy -> fail

Let's assume that galaxy costs 0 mana for the best results and Let me symbolize Apperentice as S, Faceless as F, Antoni as A and Galaxy as G.

then there are 2 of S's, 2 of F's, one A and one G.

following sequence of letters are drawing order

****GA => fail, there are 6 of this kind

****GF => fail, there are 12 of this kind

and ANY kind of sequence that drawing Antonidas BEFORE Galaxy => fail, there are 90 of this kind

then sum of the number of cases that this Exodia may fail is 108

and the total number of cases with 2 of S, 2 of F, A, G is 6!/(2!2!) = 180

then the possibility that you cannot play this plan is more than 50%

Yeah we must consider Jepetto but I ignored it in order to do the math easily and also we assumed that Galaxy costs 0 mana. Actually even though you draw Galaxy before Antonidas or Manipulator, if you use Galaxy after you draw Antoni or Manipulator, it is another failure.

 So, I highly recommand not to craft this deck