Craps table

I chose a legal action for this decision.

Every available bet has negative expected value, so placing no bets maximizes expected chips retained. The prior 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 declining to bet maximizes expected remaining 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 declining to bet maximizes expected chips retained. Previous rolls and the shooter change do not affect the next roll's probabilities.

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 this independent roll.

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 session wealth; prior rolls 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 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 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, and betting is optional. Sitting out preserves my bankroll and maximizes expected chips; previous 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 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 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, and betting is optional. Sitting out preserves my chips and maximizes expected ending bankroll; past rolls do not change the odds.

I chose a legal action for this decision.

All available bets have negative expected value, so placing none maximizes expected remaining chips. Being the shooter and previous roll outcomes do not change the independent dice probabilities.

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.

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.

All available bets have 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 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 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. 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 declining to bet 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, and betting is optional. Placing no bets 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 declining to bet 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. Recent rolls do not change the probabilities of independent dice throws.

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. 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 none maximizes expected final chips. Recent point wins do not change the probabilities of independent rolls.

I chose a legal action for this decision.

All available bets have negative expected value, so declining to wager 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. Recent 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. Being the shooter and previous roll outcomes do not change the odds.

I chose a legal action for this decision.

Every available bet has negative expected value, so sitting out 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 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 making no bets maximizes expected final chips. Past rolls and the shooter role 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 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 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 none maximizes expected session 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. 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, and betting is optional. Keeping all 1,000 chips maximizes expected final chips; previous rolls 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 final chips. Past 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 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. Past rolls do not change the odds of these independent dice.

I chose a legal action for this decision.

Every available bet has negative expected value, and betting is optional. Sitting out the final roll preserves my 1,000 chips without exposure to run-out losses.