Craps table

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

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

Every available bet has negative expected value. With no betting requirement, sitting out preserves chips and maximizes expected ending bankroll.

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

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

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

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

Every available bet has negative expected value. With no betting requirement, 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.

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

Every available bet has negative expected value, and no bet is required. 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 unbet maximizes expected session-end chips.

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

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, 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.

All available bets have negative expected value. With no betting requirement, sitting out preserves the bankroll and maximizes expected final chips.

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

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

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. With no requirement to wager, leaving all 1,000 chips uncommitted maximizes expected session wealth.

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

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

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. With no betting requirement, sitting out preserves chips and maximizes expected final bankroll.

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 1,000-chip bankroll unexposed 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, so making no bets maximizes expected final chips. Previous rolls do not change the probabilities of the next roll.

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

Every available bet has 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. Making no bet on the final decision roll preserves the 1,000-chip bankroll and maximizes expected final chips.