Craps table

I chose a legal action for this decision.

Every available bet has negative expected value, so keeping my chips unbet maximizes expected session wealth. The shooter's recent wins do not change the probabilities of independent dice rolls.

I chose a legal action for this decision.

Every available bet has negative expected value, so sitting out maximizes expected chips. Previous wins do not change the probabilities of independent dice rolls.

I chose a legal action for this decision.

All available bets have negative expected value, so declining to wager maximizes expected chips. Prior rolls and the shooter's streak do not change the probabilities of the next roll.

I chose a legal action for this decision.

All available bets have negative expected value, so placing no bets maximizes expected final chips. Previous rolls and the shooter change do not affect the independent dice probabilities.

I chose a legal action for this decision.

Every available bet has negative expected value, so not betting maximizes expected chips retained. Previous rolls do not change the probabilities of the next independent roll.

I chose a legal action for this decision.

Every available bet has negative expected value, so placing no bets maximizes expected final chips. Past rolls and the current shooter do not change the independent dice probabilities.

I chose a legal action for this decision.

Every available bet has negative expected value, so making no new bets maximizes expected chips. Previous rolls do not change the probabilities of the next independent roll.

I chose a legal action for this decision.

Every available bet has negative expected value, so sitting out maximizes expected chips. Previous rolls do not change the probabilities of this independent roll.

I chose a legal action for this decision.

Every available bet has negative expected value, so making no new bets maximizes expected chips retained. Prior rolls do not change the probabilities of the next independent roll.

I chose a legal action for this decision.

Every available bet has negative expected value, so placing no bets maximizes expected chips retained. Past rolls do not change the probabilities of independent dice rolls.

I chose a legal action for this decision.

All available bets have negative expected value, so placing no bets maximizes expected chips retained. Previous rolls do not change the probabilities of the next independent roll.

I chose a legal action for this decision.

Every available bet has negative expected value, so placing no bets maximizes expected chips retained. Previous rolls do not change the probabilities of the next roll.

I chose a legal action for this decision.

Every available bet has negative expected value, so placing no bets maximizes expected final chips. Previous rolls do not change the probabilities of the next roll.

I chose a legal action for this decision.

Every available bet has negative expected value, so abstaining maximizes expected chips. Previous rolls do not change the odds of the next independent roll.

I chose a legal action for this decision.

Every available bet has negative expected value, so placing no bets maximizes expected chips retained. Previous rolls and the shooter change do not affect the probabilities of independent fair dice.

I chose a legal action for this decision.

All available bets have negative expected value, so abstaining maximizes expected final chips. Previous rolls do not change the probabilities of the next independent roll.

I chose a legal action for this decision.

No available bet has positive expected value, so sitting out maximizes expected chips. Recent rolls and consecutive wins do not change the probabilities of independent dice throws.

I chose a legal action for this decision.

Every available bet has negative expected value, so placing no bets maximizes expected remaining chips. Recent sevens do not change the probabilities of the next independent roll.

I chose a legal action for this decision.

Every available bet has negative expected value, so making no new bets maximizes expected remaining chips. The recent streak of sevens does not change the probabilities of the next independent roll.

I chose a legal action for this decision.

All available bets have negative expected value, so placing no bets maximizes expected chips retained. Previous rolls and the shooter's streak do not change the probabilities of future rolls.

I chose a legal action for this decision.

All available bets have negative expected value, so placing none best preserves expected chips. Previous rolls do not change the probabilities of the next independent roll.

I chose a legal action for this decision.

Every available wager has negative expected value, so placing no bets maximizes expected remaining chips. Previous rolls do not change the probabilities of the next roll.

I chose a legal action for this decision.

Every available bet has negative expected value, so making no bet maximizes expected chips preserved. Previous rolls and the shooter's streak do not affect the next roll's probabilities.

I chose a legal action for this decision.

Every available bet has negative expected value, so placing no bets maximizes expected chips retained. Previous rolls do not change the probabilities of the next roll.

I chose a legal action for this decision.

All available bets have negative expected value, so placing no bets maximizes expected chips. Previous rolls do not change the probabilities of the next independent roll.

I chose a legal action for this decision.

All available bets have negative expected value, so sitting out maximizes expected remaining chips. Previous rolls and the shooter's streak do not change the odds of independent dice.

I chose a legal action for this decision.

All available bets have negative expected value, so sitting out maximizes expected remaining chips. Previous wins do not change the probabilities of this independent roll.

I chose a legal action for this decision.

Every available bet has negative expected value, so placing no bets maximizes expected chips. Previous rolls and the shooter's streak do not affect the next roll's probabilities.

I chose a legal action for this decision.

Every available bet has negative expected value, so placing no bets maximizes expected session chips. The recent winning streak does not change the probabilities of independent dice rolls.

I chose a legal action for this decision.

Every available bet has negative expected value, so placing no bets best preserves my chips. Past rolls and the shooter's winning streak do not change the probabilities of independent dice rolls.

I chose a legal action for this decision.

All available bets have negative expected value, so abstaining maximizes expected chips. Past rolls and the shooter's winning streak do not change the probabilities of independent dice rolls.

I chose a legal action for this decision.

All available bets have negative expected value, so placing no bets maximizes expected final chips. Prior rolls do not change the probabilities of the next independent roll.

I chose a legal action for this decision.

Every available bet has negative expected value, so placing no bets maximizes expected chips. Previous rolls do not change the probabilities of independent fair dice.

I chose a legal action for this decision.

All available bets have negative expected value, so placing no bets maximizes expected chips retained. Recent rolls do not change the probabilities of the next independent roll.

I chose a legal action for this decision.

Every available bet has negative expected value, so making no new bets maximizes expected chips. Previous rolls do not change the probabilities of the next independent roll.

I chose a legal action for this decision.

Every available bet has negative expected value, so adding no bets maximizes expected final chips. Previous rolls do not change the odds of this independent roll.

I chose a legal action for this decision.

Every available bet has negative expected value, so placing no bets preserves my chips and maximizes expected final bankroll. Previous rolls do not affect the next roll's probabilities.

I chose a legal action for this decision.

Every available bet has negative expected value, so making no new bets best preserves expected chips. Previous rolls do not change the probabilities of the next independent roll.

I chose a legal action for this decision.

Every available bet has negative expected value, so placing no bets maximizes expected chips retained. Previous rolls do not change the probabilities of the next independent roll.

I chose a legal action for this decision.

All available bets have negative expected value, so placing no bets maximizes expected final chips. Previous rolls do not change the probabilities of this independent roll.