Craps table

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

Every available bet has negative expected value. Keeping all chips unbet maximizes expected session-end chips.

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

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, so placing no bets maximizes expected chips retained. Previous rolls do not change the probabilities of the next roll.

Every available bet has negative expected value, and betting is optional. Keeping the bankroll unexposed maximizes expected chips over the session.

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

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

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

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 roll.

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 no wager is required. Keeping the bankroll unexposed 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. Placing no bets preserves the bankroll and maximizes expected chips.

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

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

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

Every available bet has negative expected value, so placing no bets maximizes expected chips retained. Previous rolls do not predict independent future dice outcomes.

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

All available bets have negative expected value. With no betting requirement, keeping my chips off the table 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.

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

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

Every available bet has negative expected value, so placing no bets maximizes expected chips retained. Recent rolls do not affect the probabilities of the next independent roll.

Every available bet has negative expected value, so placing no bets maximizes expected chips retained. Previous rolls do not change the probabilities of future independent rolls.

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, so placing no bets maximizes expected chips retained. Previous rolls do not affect the probabilities of the next roll.

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

Every available wager has negative expected value, so placing no 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 final chips.

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

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

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

Every available bet has negative expected value. Keeping all chips unbet maximizes expected final bankroll.

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. Past rolls do not change the probabilities of future independent rolls.

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 wager is required. Keeping all 1,000 chips unexposed maximizes expected final chips.

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