Craps table

I chose a legal action for this decision.

All available bets have negative expected value, so placing no bets maximizes expected chips retained. The shooter's 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 maximizes expected final chips. Previous wins do not affect 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 retained. Previous rolls and the shooter's winning 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 final chips. The shooter's winning 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 making no bets maximizes expected remaining 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 making no bets maximizes expected chips. Previous rolls and the shooter's streak do not change the odds of independent dice rolls.

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 do not affect 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 and being the shooter do not change the odds.

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.

All available bets have negative expected value, so placing none maximizes expected chips retained. Previous rolls do not affect the probabilities of the next independent roll.

I chose a legal action for this decision.

Every available bet has negative expected value, so declining to wager 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 bets maximizes expected 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, and betting is optional. Keeping my chips uncommitted maximizes expected final bankroll; prior rolls do not change the odds.

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 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 independent fair dice.

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 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. 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 remaining 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 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. 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 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 making 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 final chips. Being the shooter and recent roll results do not change 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. Past rolls and the current point do not create an advantage.

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 independent fair dice.

I chose a legal action for this decision.

All available bets have negative expected value, and betting is optional. Sitting out preserves my 1,000 chips and maximizes expected final wealth; previous rolls do not change the odds.

I chose a legal action for this decision.

Every available bet has negative expected value, and no wager 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, and betting is optional. Sitting out preserves my chips and 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 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 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.

All available bets have negative expected value, so making no bets maximizes expected chips retained. 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 declining to bet maximizes expected final chips. Recent rolls do not change the odds 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. 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.

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 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 and the shooter role do not change the independent dice probabilities.

I chose a legal action for this decision.

Every available bet has negative expected value, so sitting out maximizes expected final chips. Prior rolls and the current point do not create an advantage on new bets.

I chose a legal action for this decision.

All available wagers have negative expected value, so placing no bets maximizes expected final chips. Past rolls do not change the probabilities of the remaining 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. The last-roll timing and prior results do not improve the odds.