How the dozen strategy works
A dozen covers 12 numbers, 1-12, 13-24 or 25-36, and pays 2 to 1. The strategy waits for a dozen that has not come out for two spins in a row, then bets on it: 1 unit, then 2, 3, 6 and 12 after each loss, then it doubles.
When the dozen comes out, it pays twice the stake: enough to cover the losses of the cycle and leave a profit. The strategy then waits for a new dozen to miss two spins.
The limit: seven losses in a row
A dozen loses 25 times out of 37: the 24 other numbers and zero. Seven losses in a row happen in 6.43% of cycles and cost 96 units. At 5 per unit, the 9th bet would be 960, above a 500 table maximum.
In the tester, with 1,000 to start, 5 per unit, 100 spins and a 500 table maximum, 41% of sessions end in profit and 56% run out of money.
Is a dozen that has not come out due?
No. The wheel has no memory: after two misses, a dozen still has 12 chances in 37, 32.4%, to come out on the next spin, exactly as before. Waiting decides which dozen you bet on, not how often it wins.