Craps table

I chose a legal action for this decision.

Every available bet has negative expected value, so making no bets maximizes expected chips. The shooter's prior wins do not affect the independent dice rolls.

I chose a legal action for this decision.

All available bets have negative expected value, so declining to bet maximizes expected chips. Prior 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 making no bets maximizes expected chips retained. Previous rolls and the shooter change do not affect 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. Previous 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 making no bets maximizes expected chips retained. Previous rolls and the current point do not create an advantage.

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 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 affect the probabilities of this independent roll.

I chose a legal action for this decision.

Every available bet has negative expected value, so sitting out 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 declining to bet 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 placing none maximizes expected final 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 making no new 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 bet has negative expected value, so sitting out maximizes expected chips retained. 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 chips retained. Previous rolls and the shooter’s identity 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 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 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 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. 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 new 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 bet has negative expected value, so sitting out 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 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 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.

All available bets have negative expected value, so abstaining 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 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 bet has negative expected value, so sitting out 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 placing no bets maximizes expected chips retained. Recent point wins do not change the probabilities of 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 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 probabilities of the next roll.

I chose a legal action for this decision.

All available bets have negative expected value, so making no bet maximizes expected chips retained. Previous rolls and the shooter change do not affect 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 remaining chips. Previous rolls and the shooter role 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. Previous rolls do not affect 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 do not change the probabilities of independent dice outcomes.

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. 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. 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 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 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. 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 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 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, so placing no bets maximizes expected final chips. Prior rolls do not change the probabilities of this independent roll.