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Tristan's avatar
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I got into a mildly heated discussion with a friend of mine on this once. He falls squarely in MAX EV ALL THE TIME camp which I think is fine with infinite opportunities and unlimited bankroll. In the specific example though, we were talking about coaching civilians with limited/ no bankroll. I like to lay out the possible outcomes and make a decision that feels best for the situation. For example, assuming 100% lossback on European roulette (37 numbers), a $1,000 lossback, and stopping as soon as your number hits:

1 spin × $1,000: 2.70% chance of winning, $35,000 profit, +$935 EV.

2 spins × $500: 5.33% chance, $17,000–$17,500 profit, +$909 EV.

4 spins × $250: 10.38% chance, $8,000–$8,750 profit, +$860 EV.

5 spins × $200: 12.80% chance, $6,200–$7,000 profit, +$836 EV.

10 spins × $100: 23.97% chance, $2,600–$3,500 profit, +$727 EV.

I think even for an AP with a large bankroll has to consider the utility of potential money won on opportunity cost. Great article, well said. Just like the old proverb, “Sometimes a bird in hand is lower EV but maybe better so you can bet the bird again on something else sooner”

In the specific case with my friend, the person he was advising (his pops) bet 1k on a single number on a non-qualifying game (live dealer) and smashed for 35k. Clearly I've got a lot to learn!

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