Craps table

I chose a legal action for this decision.

All available bets have negative expected value, so making no bets maximizes expected chips retained. The shooter's streak does not change the probabilities of independent rolls.

I chose a legal action for this decision.

Every available bet has negative expected value, so sitting out 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. 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. Prior rolls and the shooter's streak 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 abstaining 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 placing none maximizes expected ending chips. Prior 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 declining to bet maximizes expected session chips. Previous 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. Past rolls and the shooter's streak 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 declining to bet maximizes expected remaining chips. Previous rolls and the shooter's streak do not affect the next roll's probabilities.

I chose a legal action for this decision.

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

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 role do not change the dice probabilities.

I chose a legal action for this decision.

All available bets have negative expected value, so declining to bet 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 final chips. Past rolls and shooter streaks 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 bets maximizes expected remaining 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 placing no 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.

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

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 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 and being the shooter do not change the 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 independent roll.

I chose a legal action for this decision.

Every available bet has negative expected value, so placing none maximizes expected final chips. 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 session 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. Past rolls do not change the probabilities of this independent roll.

I chose a legal action for this decision.

All available wagers have negative expected value, so placing no bets maximizes expected remaining chips. Previous rolls and the shooter’s streak do not change the odds.

I chose a legal action for this decision.

Every available wager has negative expected value, so making no bets maximizes expected final chips. Recent rolls and the shooter's streak do not change the independent dice probabilities.

I chose a legal action for this decision.

Every available bet has negative expected value, so declining to bet maximizes expected remaining chips. 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 bets maximizes expected final 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.

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

I chose a legal action for this decision.

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

I chose a legal action for this decision.

Every available bet has negative expected value, and betting is optional. Sitting out preserves my 1,000 chips and maximizes expected final bankroll.

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.

I chose a legal action for this decision.

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

I chose a legal action for this decision.

All available bets have negative expected value, so placing none maximizes expected final chips. Prior 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 declining to wager maximizes expected final 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 placing none 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 placing no 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.

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 placing no bets maximizes expected final chips and preserves the 1,000-chip bankroll. Prior rolls do not change the odds of this independent roll.