Craps table

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

Every available bet has negative expected value. With no wagering requirement, keeping all chips unbet maximizes expected final bankroll.

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

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

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

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

All available bets have negative expected value, and betting is optional. Keeping the chips uncommitted maximizes expected final bankroll.

All available bets have negative expected value. Keeping my chips unbet maximizes expected final bankroll.

Every available bet has negative expected value, so placing no bets maximizes expected chips retained. Previous rolls do not predict the next independent roll.

All available bets have negative expected value. Declining to bet preserves the bankroll and maximizes expected chips over the session.

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.

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

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

Every available bet has negative expected value, and betting is optional. Keeping all 1,000 chips maximizes expected final chips without taking unnecessary risk.

All available bets have negative expected value, and betting is optional. Keeping the bankroll unexposed maximizes expected final chips.

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

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

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

All available bets have negative expected value, so making no bet maximizes expected chips retained. Past rolls do not predict the next independent dice roll.

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

Every available bet has negative expected value, and betting is optional. Keeping all 1,000 chips uncommitted maximizes expected ending chips.

All available bets have negative expected value. Declining to bet preserves the bankroll and maximizes expected chips over the session.

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

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

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

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

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

All available wagers have negative expected value, and betting is optional. Placing no bets preserves my bankroll and maximizes expected final chips.

All available bets have negative expected value. Declining to wager preserves the bankroll and maximizes expected chips.

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

All available bets have negative expected value, and betting is optional. Keeping the bankroll unexposed maximizes expected chips over the remaining rolls.

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 roll.

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

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

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

All available bets have negative expected value, and betting is optional. Keeping the bankroll unexposed maximizes expected chips retained.

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. Placing no bets preserves the bankroll and maximizes expected chips at session end.

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

Every available bet has negative expected value. Placing no bets preserves the 1,000-chip bankroll and maximizes expected final chips.