Craps table

Come-out pass line at 50 leaves room for full 5x odds later, the lowest-edge path available this roll.

Point is 10 with a 50 pass-line flat. Max legal free odds (100) has zero house edge and raises odds utilization without adding negative-EV bets.

Point is 10 with pass odds already capped, so I add a small don't come to open a low-edge flat that can take true-odds lay bets once it travels, and I leave the zero-edge pass odds up.

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.

Come-out: don't pass has the lowest house edge among legal bets and leaves room to lay max odds once a point is set, which scores on both EV and odds utilization.

Point is 8 with a 50 don't pass flat. Laying the maximum legal 96 odds (multiple of 6) adds zero-edge action and maximizes odds utilization without adding house-edge bets.

Don't pass odds are already at the stake cap, so I leave them up and add a small don't come to open another low-edge flat that can take full laid odds once it has a point.

Don't pass has the lowest house edge available on the come-out, and full laid odds behind the existing don't come 8 add zero-edge exposure.

Point is 5 with a don't-pass flat already up, so I add the largest legal laid-odds stake. Free odds have no house edge and use the remaining exposure without adding a negative-EV bet.

Come-out: don't pass has the lowest house edge among legal bets and a 20 flat leaves room to lay the full odds multiple later, which is the zero-edge action the score rewards.

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 8 behind a 20 don't pass. Max laid odds (96, a multiple of 6) are zero-edge, so they cut expected loss per chip and use the odds allowance.

Don't-pass odds on 8 are already at the laid-odds ceiling, so I add no positive-edge bets and leave the zero-edge odds working.

Point is 8 with don't pass and full laid odds already working; that position is favorable and odds are maxed, so adding any new negative-edge bet or taking the bet down would worsen expected value.

Come-out: don't pass has the lowest house edge among legal bets and a 20 flat leaves room to lay full true-odds multiples next roll, which score as zero-edge utilization.

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.

Come-out pass line of 20 keeps the flat house edge low and leaves room to take the full odds multiple later (up to the 100 cap) on whatever point is set.

Come-out: don't pass has the lowest house edge among legal bets and a 20 flat leaves room to lay the full odds multiple later, which cuts EV loss per chip and raises odds utilization.

Come-out: don't pass has the lowest house edge among legal bets. A modest flat leaves room to lay full odds (zero edge) once a point is set, which cuts EV loss per chip and uses the odds allowance.

Point is 9 with a don't pass flat already up. Max laid odds are zero house edge and the only stake that improves odds utilization without adding expected loss.

Point is 9 with don't pass and max legal laid odds already working; conditional EV is non-negative and every new catalog bet has house edge, so I add nothing.

Point is 9 with don't pass and near-max laid odds already working; seven is more likely than nine, so leave both up. No new bet has zero house edge this roll, and adding edge would worsen ev loss per chip.

Point is 9 with don't pass and max laid odds already working; that flat is now plus-EV and the odds are zero edge, so I leave them and add no negative-edge bets.

Point is 9 with don't pass and maximum legal laid odds already working; those odds are zero edge and the flat is now player-favorable, so I add no negative-edge bets and leave both up.

Point is 9 with don't pass already a favorite and laid odds at the ceiling and zero house edge. Every legal new bet has a house edge, so I add nothing and leave both bets up.

Point is 9 with don't pass and full laid odds already working; that flat is plus-EV and the odds are zero-edge, so I add no house-edge bets and leave both up.

Come-out only: 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 6 with a live don't pass. Max laid odds are zero house edge and raise odds utilization without adding negative-EV bets.

Come-out pass line at 20 so a point can take the full legal odds (5x/4x/3x within the 100 cap) at zero house edge; pass odds multiples fit those ceilings cleanly.

Point is 6 with a 20 pass-line flat already up. Max true-odds (100, a multiple of 5) has zero house edge and is the only addition that improves both EV loss per chip and odds utilization.

Point is 6 with pass line and full 5x odds already working; odds are zero house edge and cannot be increased, so adding any other bet would only raise expected loss.

Come-out with no point: don't pass has the lowest house edge available, and a small flat leaves room to lay full odds once a point is set.

Point is 8 with a 10 don't pass flat; max laid odds (48, a multiple of 6) are zero house edge and fully use the odds ceiling, which minimizes EV loss per chip.

Point is 8 with don't-pass and max laid odds already working; odds are zero-edge and the flat is now plus-EV, so I add no house-edge bets and leave both up.

Point is 8 with don't-pass odds already at the ceiling, so adding any legal bet would only increase expected loss. Standing pat keeps zero-edge odds working and avoids new house-edge wagers.

Don't pass and max laid odds on 8 are already +EV or zero-edge; no legal odds remain and every new bet has a house edge, so I add nothing.

Point is 8 with max laid odds already behind don't pass; that flat is plus-EV to keep and odds are zero-edge. No legal addition has zero house edge, so I add nothing.

Don't pass on 8 already has the maximum legal laid odds, which carry no house edge. Adding any new bet would only increase expected loss, so I leave the table unchanged.

Point is 8 with don't pass and max laid odds already working; that flat is plus-EV and the odds are fair, so I leave them up and add no negative-edge bets.

Last decision is a come-out with no odds available, and every offered bet has a house edge. Placing nothing avoids expected loss.