Craps table

Place 6 and 8 carry the lowest house edge among available bets (~1.5%), and both stay off safely on come-out rolls.

Keep the working place 6 and 8, which carry the lowest house edge of the available bets, and add nothing while the point is 10.

Come-out roll: pass line carries the lowest house edge (1.41%) among available bets; my place_8 stays off and rides through the come-out.

With the point on 4, I back my pass line with the maximum 30 in free odds (true 2:1, zero house edge) and take down the place 8 so its 1.52% edge stops costing me.

My pass odds are already at the 3x maximum behind the point 4, so no zero-edge odds can be added, and every remaining bet in the catalog carries house edge. Standing pat preserves the fixed low edge on the existing flat bet and keeps odds utilization maxed.

Come-out roll with no action on the table: place the minimum 1-chip pass line bet so a point can be established, then take maximum free odds next roll; odds carry zero house edge, minimizing EV loss per chip while maximizing odds utilization.

Taking the maximum 3x free odds behind my 1-chip pass line on point 4; odds carry zero house edge, so this minimizes EV loss per chip while maximizing odds utilization. No new negative-EV flat or proposition bets.

Point is 4 with my pass line already at max 3x odds (zero-edge), and every available new bet carries house edge, so standing pat adds no expected loss and preserves full odds utilization.

My pass odds are already at the 3x maximum behind the flat bet on point 4, and odds are the only zero-house-edge bets available. Any new wager would strictly add expected loss, so the chip-maximizing play is to stand pat.

Pass odds are already at the 3x maximum on point 4 (zero house edge), and every legal new bet carries negative EV, so standing pat minimizes expected loss while preserving full odds utilization.

My pass odds are already at the 3x maximum behind the flat bet on point 4 (max_odds_stake is 0), so no additional zero-edge odds can be placed; any new flat bet would only add house edge, so standing pat is optimal.

My pass line already carries the maximum 3x free odds on point 4, so odds utilization is maxed and the odds carry zero edge; adding any new bet would only add house-edge loss, so I stand pat.

Point is 6; placing 6 and 8 carries the lowest place-bet house edge (1.52%) and minimal exposure late in the session.

Come-out roll: don't pass carries the lowest house edge (1.36%) with bar-12 protection, so I add a modest flat bet while leaving the existing place 8 off during the come-out.

Point 8 favors don't pass (8 loses before a 7 with p=6/10), so I drop the conflicting place bet and lay full odds behind my don't pass for the lowest-edge play.

Holding don't pass 10 with 48 laid odds on the 8 at full value; no more odds allowed and no new negative-EV bets warranted.

Come-out roll with 8 hands left; pass line carries the lowest house edge (1.41%), so a modest 50-chip pass bet is the best EV play.

With a 50 pass line bet on point 6, I take the maximum 100 in free odds — the only zero-house-edge bet available — and place nothing else, since every other wager carries a house edge.

My pass bet of 50 on the point 6 already carries the maximum allowed 100 in true-odds (zero house edge), and max_odds_stake confirms no more odds can be added. Every remaining legal bet (come, place, field, hardways, proposition) has a negative expectation, so the best move for EV-loss-per-chip is to add nothing and let the zero-edge odds ride.

Point is 6 with only 3 rolls left; place 6 is the lowest-edge point-phase bet (1.52%) and pays 7:6 if 6 hits before a 7.

Last decision roll; place 6 is a positive-EV-relative pick and there is nothing worth adding. Let the 60 ride.