What is a bankroll unit?
Your base bet, the amount you put out on a normal hand. Sizing it as a fraction of your session budget, around 1/40, keeps a normal losing streak from ending the session.
Guru
Updated
Bankroll management does not change the house edge. What it does is make sure the variance of blackjack never forces you to stop playing before you intended, never pushes you into a bet you cannot afford to double or split, and never turns a bad hour into a bad month. It is the part of the game you control entirely.
For a basic strategy player the house edge is negative, so the goal is not to grow a bankroll but to spend a chosen amount of entertainment budget at a predictable rate. That is a different problem from a card counter's bankroll, and it has simpler answers.
Start from the amount you are prepared to lose in a session with no regret, and divide by about 40. A $400 session budget supports a $10 base bet. That ratio survives a typical losing session, which is around 20 to 30 base bets over a couple of hours, and still leaves room for every correct double and split.
If your session budget cannot support the table minimum at that ratio, you are at the wrong table. Playing $25 hands on a $300 budget means roughly one bad hour ends the night, and worse, it tempts you to skip a correct double because you are short.
Blackjack has a standard deviation of about 1.15 bets per hand for a flat bettor, which means that over 100 hands your result will usually land within plus or minus 11.5 bets of expectation, and about one time in twenty it will be outside 23 bets. A 100-hand session that loses 25 base bets is unlucky but completely normal, and it will happen to you.
Because the house edge is only about half a bet per 100 hands, luck dominates every session you will ever play. Judging your play by session results is meaningless; judge it by decision accuracy, which the trainer measures directly.
Set a loss limit equal to the session budget and stop when you hit it; do not buy in again. Set a time limit too, since fatigue degrades decision accuracy more than most players realise. A win goal is optional: stopping on a win does not change your expectation, but if locking in a good session makes you happier, there is no cost to it.
Decide your limits before you sit down and write them down. Decisions made mid-session, especially after losses, are the ones that break bankrolls.
Raising bets after losses (Martingale and its variants) does not change the expectation of any hand and guarantees that your worst session will be catastrophic. Raising bets after wins ('riding a streak') has no basis; the cards do not remember the last hand. Both patterns increase variance without changing the long-run cost.
The only betting variation with a mathematical basis is raising bets when the count is favourable, which requires counting cards. For a basic strategy player, flat betting at a size the bankroll supports is correct and nothing else is.
| Session Budget | Base Bet (about 1/40) | Max on Table After Split + 2 Doubles | Normal 100-Hand Swing |
|---|---|---|---|
| $200 | $5 | $20 | Plus or minus $58 |
| $400 | $10 | $40 | Plus or minus $115 |
| $1,000 | $25 | $100 | Plus or minus $290 |
| $2,000 | $50 | $200 | Plus or minus $575 |
Your base bet, the amount you put out on a normal hand. Sizing it as a fraction of your session budget, around 1/40, keeps a normal losing streak from ending the session.
Not for any mathematical reason. Previous hands do not affect the next one. If you enjoy pressing bets with winnings, do it knowingly as entertainment and keep the base bet unchanged.
With a base bet of 1/40 of the budget, most sessions last several hundred hands. About one session in ten will hit the loss limit within 100 to 150 hands; that is variance, not a sign of bad play.
Reading strategy helps, but repetition is what locks it in. Use the trainer to practice hand-by-hand decisions with immediate EV-focused feedback.