Thus betting tables for The Banker natural eight bet agree, to a high approximation, with betting tables for The Banker natural nine bet.
Some indication of the relation between the natural eight and natural nine bets should be given. Calculations show that, over the range of practical importance, if the total number n0 of cards and the number s0 of eights are held fixed, then the probability of a natural eight increases monotonely as the number t0 of nines is increased. However, the probability of a natural eight does not rise to the "normal” amount until n0/t has decreased to somewhere in the neighborhood of 9.0.
Similarly, it turns out that if the deck is rich in eights, the probability of a natural nine is decreased, compared with the typical distribution for the non- riine cards.