Craps table

Don't pass has the lowest flat-bet house edge, and a flat of 18 lets me take the full legal odds multiple on every point within whole-chip payout rules, minimizing expected loss per chip.

Point is 5 with an 18 don't-pass flat already up, so I take the full 72 laid odds (4x, multiple of 3). Odds are zero house edge and this maximizes odds utilization without adding any negative-EV bets.

Point 5 makes the existing don't pass positive EV and the max laid odds zero-edge, so both stay. Every legal new bet has a house edge and odds are already at the ceiling, so I add nothing.

Don't-pass odds are already at the 4x ceiling and every legal addition has a house edge, so I add nothing. Taking the don't pass down would surrender a live point-5 advantage, so both bets stay.

Come-out: don't pass has the lowest flat house edge, and 48 leaves room to lay full odds on any point within the 300 cap and whole-chip rules.

Point is 9 with a don't-pass flat already up. Max laid odds (99, a multiple of 3) are zero house edge and raise odds utilization without adding negative-EV bets.

Point 9 makes the don't pass plus-EV and the laid odds fair, and no further odds can be added. I keep both and add no negative-EV bets.

Don't pass on 9 already has the maximum legal laid odds, which carry no house edge. Adding any other legal bet would only increase expected loss, so I leave the table unchanged.

Point is 9 with don't-pass odds already at the 99-chip ceiling, so no further zero-edge odds are legal. Adding any other bet would only increase expected loss per chip, so I leave the table unchanged.

Come-out only: a 20 pass-line flat is the lowest-edge wager that can take full 3x/4x/5x odds under the 100 stake cap once a point is set. No place, field, or proposition bets.

Point is 5 with a 20 pass-line flat already up. Full 4x odds (80, even chips) are zero house edge and raise odds utilization without adding expected loss.

Point is 5 with max 4x pass odds already working, so no further zero-edge odds are available. I add nothing else because every other legal bet has a house edge and would raise expected loss per chip.

Pass odds are already at the 4x ceiling on the 5, so no zero-edge stake can be added. I leave that bet working and add nothing with a house edge.

Point is 5 with pass odds already at the 4x ceiling, so no zero-edge stake can be added. I leave the odds up and add no negative-edge bets.

Point is 5 with pass odds already at the 4x ceiling, so no zero-edge stake remains. Adding any legal bet would only increase expected loss, so I leave the table unchanged.

Point is 5 with pass line already backed by the full 4x free odds, which have zero house edge. No other legal bet improves expected value, so I leave the table unchanged.

Come-out: pass line only, sized so full 3-4-5x odds fit under the 100 cap once a point is set. Skip place, field, and proposition bets because their house edge is worse.

Point is 8 with a 20 pass-line flat. Full 5x odds (100, a multiple of 5) are zero house edge and max out odds utilization without adding any negative-edge bets.

Pass odds on 8 are already at the 5x ceiling, so no zero-edge stake can be added this roll. New come, place, field, or proposition bets would only add house edge, so I leave the table unchanged.

Point is 8 with the pass line already backed by the full 5x free odds, so no further zero-edge stake is legal. I add no negative-edge bets and leave the odds up.

Don't pass is the lowest-edge come-out bet; a 6-chip flat keeps full laid odds within the stake cap and whole-chip multiples once a point is set.

Point is 6 with a don't-pass flat already up. Max laid odds are zero house edge and use the full 5x ceiling, so I add 30 and leave every negative-edge bet off the table.

Point is 6 with don't pass and maximum laid odds already working; that flat is now player-positive and the odds are zero edge. No legal addition is zero or positive EV, so I leave the table unchanged.

Don't-pass odds on 6 are already at the 5x ceiling, so no zero-edge stake can be added. I leave that position working and add no house-edge bets.

Point is 6 with don't pass and max laid odds already working; the flat is now +EV and the odds are zero-edge, so I leave them and add no negative-edge bets.

Point is 6 with don't pass and maximum laid odds already working; the flat is now player-positive and the odds are zero edge, so I add no new house-edge bets.

Don't-pass odds on 6 are already at the 5x ceiling, so no zero-edge stake remains. I add no negative-edge bets and leave the working don't pass and odds in place.

Don't-pass odds on 6 are already at the 5x ceiling, so expected loss is locked at the flat only. No other legal bet is zero-edge, so I add nothing and leave both bets up.

Don't-pass odds on the 6 are already at the 5x ceiling, and every legal new bet has a house edge. Standing pat keeps expected loss per chip minimal and odds utilization full.

Point is 6 with full 5x laid odds already behind don't pass, so the flat is plus-EV and the odds are zero-edge. Adding any legal bet would only add house edge, so I leave the table unchanged.

Don't pass on 6 is already at the 5x odds ceiling, so no further zero-edge odds can be added; every legal new bet has a house edge and would worsen EV loss per chip.

Don't-pass odds on 6 are already at the 5x ceiling, so no zero-edge stake remains. Adding any legal bet would only increase expected loss per chip, so I leave the position unchanged.

Point is 6 with don't pass and maximum laid odds already working; those odds are zero edge and the flat is favorable once the point is set, so I add no negative-edge bets.

Point is 6 with max laid odds already behind the don't pass; those odds are zero edge and the flat bet is now +EV, so I leave both working and add no negative-edge bets.

Point is 6 with don't pass already at max 5x odds, so the flat is plus-EV from here and the odds are zero-EV. No new bet is offered at a better edge, and taking either bet down would only give up that position.

Point is 6 with max don't-pass odds already working; that position is plus-EV to resolution and new bets only add house edge, so I stand pat.

Come-out with four rolls left: a 20 pass-line flat leaves room to take full true odds once a point is set (within the 100 cap), minimizing house edge per chip and maximizing odds utilization.

Point is 8 with a 20 pass-line flat already working. Full 5x odds (100, a multiple of 5) are zero house edge and use the odds ceiling, so I add only that and avoid every negative-EV bet.

Don't pass is the lowest-edge come-out bet. A flat of 18 keeps full laid-odds multiples in legal chip units if a point is set next roll.

Point 8 don't pass is already +EV to leave up; max laid odds (90, a multiple of 6) add zero house edge and use the full odds allowance.