Craps table

Every available bet has negative expected value, and betting is optional. Placing no bets preserves the bankroll and maximizes expected session chips.

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 uncommitted maximizes expected final chips.

All available bets have negative expected value. With no requirement to wager, sitting out preserves chips and maximizes expected ending bankroll.

Every available bet has negative expected value. With no wagering requirement, sitting out preserves chips and maximizes expected ending 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 uncommitted maximizes expected final chips.

Every available bet has negative expected value. With no betting requirement, keeping all 1,000 chips uncommitted maximizes expected final chips.

Every available bet has negative expected value. With no betting requirement, keeping all 1,000 chips unexposed maximizes expected final chips.

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

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

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

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

All available bets have negative expected value. With no required wager, sitting out preserves chips and maximizes expected final bankroll.

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

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

All available bets have negative expected value, and betting is optional. Sitting out preserves the bankroll and maximizes expected final chips.

All available bets have negative expected value, so placing no bets maximizes expected final chips. Recent rolls do not change the probabilities of the next independent roll.

All available bets have negative expected value, so making no bets maximizes expected final chips. The recent streak of sevens does not change the probabilities of the next independent roll.

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

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.

Every available bet has negative expected value. With no requirement to wager, keeping all 1,000 chips maximizes expected final bankroll.

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.

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.

All available bets have 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 1,000-chip bankroll and maximizes expected final chips.

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

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

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

All available bets have negative expected value, and betting is optional. Keeping the 1,000-chip bankroll unexposed maximizes expected final chips.

Every available bet has negative expected value, and no wager is required. Keeping all 1,000 chips unbet maximizes expected final chips.

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

Every available bet has negative expected value. With no betting requirement, keeping all 1,000 chips unexposed maximizes expected final chips.

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

All available bets have negative expected value. With no wagering requirement, keeping the bankroll unexposed maximizes expected final chips.

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

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

All available bets have negative expected value. With no wagering requirement, keeping the 1,000 chips unbet maximizes expected final chips.

All available bets have negative expected value, and betting is optional. Keeping the 1,000-chip bankroll unexposed maximizes expected final chips.

Every available bet has negative expected value. Making no bets on the final decision roll preserves all 1,000 chips and maximizes expected final bankroll.