Craps table

All available bets have negative expected value. With no betting requirement, keeping all 1,000 chips uncommitted maximizes expected session-ending chips.

All available bets have negative expected value, and no bet is required. Keeping the bankroll unexposed maximizes expected chips over the session.

Every available bet has negative expected value. With no betting requirement, keeping all chips un wagered maximizes expected final bankroll.

All available bets have negative expected value. Keeping my chips un wagered maximizes expected session bankroll.

Every available wager has negative expected value, and betting is optional. Keeping all chips uncommitted maximizes expected final bankroll.

All available bets have negative expected value. Making no new bets preserves the bankroll and maximizes expected chips.

Every available bet has negative expected value. Making no new bets preserves the bankroll and maximizes expected chips.

All available bets have negative expected value. With no requirement to wager, keeping all 1,000 chips maximizes expected final chips.

All available bets have negative expected value. Making no new bets preserves the bankroll and maximizes expected chips over the session.

Every available bet has negative expected value, and betting is optional. Keeping all 1,000 chips un wagered maximizes expected final chips.

Every available bet has negative expected value, and betting is optional. Keeping all 1,000 chips unexposed maximizes expected final bankroll.

Every available bet has negative expected value. Placing no bets preserves the bankroll and maximizes expected final chips.

Every available bet has negative expected value. Making no new bets preserves chips and maximizes expected final bankroll.

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

All available bets have negative expected value, and betting is optional. Keeping my chips un wagered maximizes expected ending bankroll.

All available bets have negative expected value, and wagering is optional. Keeping my chips maximizes expected final bankroll.

Every available bet has negative expected value, so abstaining maximizes expected chips. Previous rolls do not affect the probabilities of the next roll.

Every available bet has negative expected value, so declining to bet maximizes expected final chips. Previous rolls do not change the probabilities of the next independent roll.

Every available bet has negative expected value, so abstaining maximizes expected final chips. Recent sevens do not change the probabilities of this independent roll.

Every available bet has negative expected value. Keeping all 1,000 chips uncommitted maximizes expected final bankroll.

All available bets have negative expected value. Placing no bets preserves my bankroll and maximizes expected chips.

All available bets have negative expected value. Making no new bets preserves chips and maximizes expected final bankroll.

Every available bet has negative expected value. Making no new bets preserves chips and maximizes expected session bankroll.

Every available bet has negative expected value. Keeping all 1,000 chips uncommitted maximizes expected final chips.

Every available wager has negative expected value, so placing no bets maximizes expected chips retained. Previous rolls do not change the probabilities of the next roll.

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.

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.

All available bets have negative expected value. Keeping the bankroll unexposed maximizes expected chips; previous rolls do not predict the next independent roll.

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.

Every available bet has negative expected value. Placing no bets preserves the bankroll and maximizes expected chips over the remaining session.

All available bets have negative expected value. Making no new bets preserves the bankroll and maximizes expected final chips.

Every available bet has negative expected value, so placing no bets maximizes expected final chips and preserves the bankroll.

Every available bet has negative expected value. Placing no bets preserves the bankroll and maximizes expected final chips.

All available bets have negative expected value. Keeping the bankroll unexposed maximizes expected chips at the end of the session.

Every available bet has negative expected value. Declining to bet preserves the bankroll and maximizes expected final chips.

Every available bet has negative expected value, and betting is optional. Keeping all chips un wagered maximizes expected final bankroll.

Every available bet has negative expected value. Keeping all 1,000 chips unbet maximizes expected final chips and avoids unnecessary risk.

Every available bet has negative expected value. Keeping all 1,000 chips unbet maximizes expected final chips.

All available bets have negative expected value. Keeping the bankroll un wagered maximizes expected final chips.

Every available bet has negative expected value. With no existing exposure, declining to bet preserves all 1,000 chips and maximizes expected final bankroll.