The "alignment" curiosity
Suppose we want to arrange cards forming a shoe which provides all Banker or Player hands.
For simplicity we use just one deck.
One of the numerous card distribution producing all banker hands (and no ties) is:
A, A, K, 5, 3, 2, 3, 2, 2, K, 4, 10, 3, 9, 6, Q, J, 7, 5, 8, 5, 8, 5, 8, J, 10, 9, 7, A, Q, A, 6, 6, 4, 10, 4, J, 9, J, 2, 10, K, 4, K, 3, 8, Q, Q, 7, 9. (6,7 left as they can't produce a hand)
Such sequence provides 11 straight Banker hands and no tie:
B B B B B B B B B B B
Now let's remove from the play the first card (A) from the play and see what happens:
P P T B B B B B B B
Or the first two cards (A, A):
B B T B B B B B B B
Finally the first three cards (A, A, K):
P B T B B B B B B B
We see that results are not much affected by burning one, two o three cards and such thing happens with a lot of decks. In a sense we could deduce that this card distribution is Banker polarized; it's just a matter of time that results will be aligned with the original untouched sequence.
Even when multiple decks are utilized or no substantial card clumping is present (as 2-3 and 5-8 in the example), things go quite in the same way, at least on the vast majority of the shoes dealt.