Craps table

I chose a legal action for this decision.

Every available bet has negative expected value, so declining to bet maximizes expected chips retained. The shooter's recent 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 making no bet 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 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 best preserves my chips. Previous 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. Prior rolls and the shooter's 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 making no new bets maximizes expected chips. Past rolls and the shooter's streak 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 new bets maximizes expected chips. Previous rolls and the shooter's streak do not change the odds.

I chose a legal action for this decision.

Every available bet has negative expected value, so abstaining 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.

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 roll.

I chose a legal action for this decision.

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

I chose a legal action for this decision.

Every available wager has negative expected value, so making no bet 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 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 making no bets maximizes expected remaining chips. Past 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 abstaining maximizes expected chips. Previous rolls do not predict the next independent roll.

I chose a legal action for this decision.

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

I chose a legal action for this decision.

Every available wager has negative expected value, so placing no bets maximizes expected chips retained. Past 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.

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

I chose a legal action for this decision.

All available bets have negative expected value, so placing none maximizes expected remaining chips. 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 none 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 making no new bets maximizes expected chips. Previous rolls do not affect 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. Past 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 making 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 sitting out maximizes expected chips. Previous rolls do not change the probabilities of independent dice.

I chose a legal action for this decision.

Every available bet has negative expected value, so declining to bet maximizes expected chips retained. Previous rolls and the current shooter do not change the 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 retained. Past 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 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, and no bet is required. Keeping my chips unbet maximizes expected final bankroll.

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 making 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.

Every available bet has negative expected value, so making no new bets maximizes expected final 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 leaving my chips unbet maximizes expected final bankroll. 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 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 chips retained. Past rolls do not change the odds of future independent rolls.

I chose a legal action for this decision.

Every available bet has negative expected value, so declining to bet preserves the highest expected chip total. Past 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 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 abstaining maximizes expected final 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 abstaining maximizes expected chips. Previous rolls do not change the probabilities of future independent rolls.

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 independent dice.

I chose a legal action for this decision.

Every available bet has negative expected value, and there is no requirement to wager. Sitting out the final roll preserves my 1,000 chips without taking unnecessary risk.