Craps table

Come-out: a small don't-pass flat has the lowest house edge among available bets and leaves room to lay maximum true-odds later, which cuts expected loss per chip.

Lay the maximum zero-edge odds behind the existing don't-pass point-6 flat and add no negative-edge bets.

Come-out: don't pass has the lowest house edge among legal bets and sets up zero-edge laid odds once a point is established.

Come-out: don't pass has the lowest house edge available. A modest flat leaves room to lay maximum true odds once a point is set.

Point is 4 with a 20 don't pass already up. Laying the full 60 odds (3x, even chips) is zero house edge and maximizes odds utilization without adding negative-EV bets.

Don't pass on 4 already has full 3x odds, which are zero-edge. New bets only add house edge, and odds cannot be increased, so stand pat.

Come-out: don't pass has the lowest house edge among legal bets and sets up zero-edge laid odds once a point is established.

Point is 4 with a 50 don't pass already up, so I lay the maximum even-chip odds (100) at zero house edge and add no negative-EV bets.

Don't pass on 4 with laid odds is already the lowest-edge position available; odds cannot be increased and every legal new bet has a house edge, so I leave the table unchanged.

Point is 4 with don't pass and max allowed laid odds already working; odds cannot be increased and every other legal bet has a house edge, so I add nothing and leave the zero-edge odds in place.

Point is 4, so the working don't pass is favorable and the laid odds are zero-edge; odds cannot be increased. Every legal new bet has a house edge, so I add nothing and leave both bets up.

Come-out only: don't pass has the lowest house edge among legal bets, and a 50 flat leaves room to lay max odds (zero edge) once a point is set.

Point is 9 with a don't-pass flat already up, so I lay the maximum legal odds. Laid odds have zero house edge and are the only addition that improves the score without adding expected loss.

Come-out: don't pass has the lowest house edge among legal bets and a 20 flat keeps full odds (up to 5x) inside the 100 cap so later odds carry zero edge.

Come-out: don't pass has the lowest house edge among bets that can later take zero-edge laid odds. A 20 flat leaves room to max odds once a point is set.

Point is 6 with a live don't pass, so I keep the flat and lay the maximum 96 odds at zero house edge. No other bets, since they add expected loss.

Point is 6 with don't pass and max laid odds already working; that flat is favorable and the odds are zero edge, so I add no negative-edge bets and take nothing down.

Don't pass on 6 already has the maximum whole-chip laid odds, so adding any offered bet would only raise expected loss per chip. Leave the position working.

Come-out: don't pass has the lowest house edge among legal bets and leaves room to lay full odds once a point is set.

Point is 5 with a 20 don't-pass flat already working. Laying the full 78 odds (multiple of 3, within the 78 ceiling) adds zero-edge action and uses the odds allowance without placing any negative-EV bets.

Come-out: don't pass has the lowest house edge among legal bets and a flat of 12 sets up full laid odds in legal stake multiples once a point is established.

Keep the don't-pass on 6, which is now a positive-EV contract, and back it with the full 60 in zero-edge laid odds. No other bet is added because each has a house edge.

Point is 6 with don't-pass odds already at the 5x ceiling, so the flat is +EV and the odds are zero-edge. Every legal new bet has a house edge, so I add nothing and leave both bets working.

Point is 6 with don't pass and full 5x odds already working. That flat is now player-favorable and the odds are zero edge, so I leave them and add no negative-EV bets.

Come-out: don't pass has the lowest house edge among legal bets and a 48 flat leaves room for full laid odds (including 6/8 multiples of 6) inside the 300 exposure cap.

Point is 6 with a don't-pass flat already up. Full laid odds are zero house edge and use the odds ceiling; other bets only add edge.

Point is 6 with full laid odds already behind don't pass; that flat is now plus-EV and the odds are zero-edge, so I leave them. No new bet has a lower house edge than standing pat.

Come-out: don't pass has the lowest house edge among legal bets and a small flat leaves room to lay maximum zero-edge odds once a point is set.

Point is 9 with a don't-pass flat already up. Max laid odds are zero house edge and improve odds utilization, so I add the full 78 and leave the flat bet working.

Don't pass on 9 is already at the laid-odds ceiling and is plus-EV to leave up. No new bet has zero house edge, so adding nothing avoids EV loss.

Don't pass on 9 already has the maximum legal laid odds, so expected loss is already minimized. New place, field, hardway, or one-roll bets would only add house edge, so I leave the table unchanged.

Point is 9 with max laid odds already behind don't pass. Those odds are zero edge and the flat is favorable once the point is set, so I add no negative-edge bets and leave both up.

Come-out only: don't pass has the lowest house edge among legal bets and a modest flat leaves room for full laid odds once a point is set.

Point is 6 with a don't pass flat already up. Max laid odds are zero house edge and the only addition that improves odds utilization without adding expected loss.

Point is 6 with don't pass and full laid odds already working; that flat is now player-positive and the odds are zero edge, while every legal new bet has house edge, so I add and remove nothing.

Come-out with five rolls left: don't pass has the lowest house edge among legal bets and a 50 flat leaves room to lay full odds once a point is set.

Point 10 don't pass is already the favorable side; max even laid odds add zero house edge and raise odds utilization without new negative-EV bets.

Point is 10 with don't pass and laid odds already working; odds are zero edge and no legal addition this roll improves expected value, so I leave the position unchanged.

Don't pass has the lowest come-out house edge, and a 50 flat leaves room to lay full odds next roll if a point is set, which improves odds utilization and cuts expected loss per chip.

Last roll: keep the don't-pass flat and lay the maximum zero-edge odds behind the 8, avoiding every negative-edge bet.