Craps table

Come-out don't pass has the lowest house edge among legal bets and a 6-chip flat lets later laid odds hit every true-odds multiple exactly.

Point is 9 with a don't pass flat already up, so I lay the full 4x odds (24, a multiple of 3). Free odds have zero house edge and raise odds utilization without adding expected loss.

Don't-pass odds on 9 are already at the 4x ceiling, so no zero-edge stake can be added. I leave the flat and odds working and skip every negative-edge bet.

Don't pass on 9 already has the full 4x laid odds, so expected loss is minimized by adding no higher-edge bets this roll.

Don't pass on 9 already has the full 4x laid odds, which is zero house edge, and no additional odds can be placed. Adding any other offered bet would only increase expected loss, so I leave the table unchanged.

Don't pass on 9 already has full 4x laid odds, so no further zero-edge odds can be added. New menu bets all carry house edge, so I leave the working bet unchanged.

Don't-pass odds on 9 are already at the 4x ceiling, so no zero-edge stake can be added. I leave that bet up and add no negative-edge wagers.

Don't pass on 9 is already backed by the full 4x laid odds, which carry no house edge. Adding any other legal bet would only increase expected loss per chip, so I leave the table unchanged.

Don't pass on 9 is already backed by the full 4x laid odds, so the live position is mostly zero-edge. Adding any new bet would only increase expected loss, so I stand.

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, which cuts expected loss per chip.

Point is 6 behind a working don't pass. Max laid odds are zero house edge, so I fill the 96 ceiling and add no negative-EV 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.

Point is 9 with a 20 don't-pass flat already working. Max legal laid odds (78, a multiple of 3) are zero house edge and raise odds utilization without adding negative-EV bets.

Point is 9 with don't pass and max legal laid odds already working; that position is zero-edge on the odds and favored on the flat, so adding any new negative-edge bet would only increase expected loss.

Don't-pass odds on 9 are already at the whole-chip maximum, so no zero-edge stake remains. Adding any legal bet would only increase expected loss, so I leave the table unchanged.

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 flat. Max legal laid odds (96, a multiple of 6) are zero house edge, so I load them to cut expected loss per chip and raise odds utilization.

Come-out only: 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 9 with a 100 don't-pass flat already up. Max legal laid odds (99, a multiple of 3) are zero house edge, which cuts EV loss per chip and raises odds utilization without adding negative-EV bets.

Point 9 don't pass with max laid odds is already the best position; adding any legal bet would only increase house-edge exposure.

Point is 9 with don't pass and laid odds already working; odds are at the ceiling and every new legal bet has a house edge, so I add nothing and leave the fair position up.

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 only: a small don't-pass flat has the lowest house edge among legal bets and is sized so full laid odds fit the whole-chip multiples once a point is set.

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 among legal bets. A 20 flat leaves room to lay the maximum allowed odds once a point is set.

Point is 5, so the don't pass is live and laid odds are zero-edge. Maxing the 78-chip odds ceiling improves odds utilization without adding house edge.

Point is 5 with don't pass already backed by the maximum legal laid odds. Every new legal bet has a house edge, so adding nothing avoids further expected loss.

Point is 5 with don't pass already at the legal laid-odds ceiling, which is the zero-edge portion of the bet. Every legal addition has a house edge and odds cannot be increased, so I leave the table unchanged.

Point is 5 with don't pass and max legal laid odds already working; the flat is now plus-EV to keep and odds are zero edge, so I add no negative-edge bets.

Don't pass has the lowest house edge on the come-out and establishes a flat bet so maximum free odds can be laid once a point is set.

Point is 4 with a working don't pass; max even laid odds are zero house edge and improve odds utilization without adding negative-EV bets.

Come-out: don't pass has the lowest house edge among legal bets and a 20 flat leaves room to lay the full odds cap once a point is set.

Come-out: don't pass has the lowest house edge among legal bets and a flat 20 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 improve odds utilization without adding negative-EV bets.

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

Don't-pass odds are already at the whole-chip maximum, and every legal new bet has a house edge, so I leave the table unchanged.

Don't pass on 6 is already backed by the maximum legal laid odds, which carry no house edge. Adding any offered bet would only increase expected loss per chip, so I leave the position unchanged.

Point is 6 with don't-pass odds already at the whole-chip maximum, so I add no negative-edge bets and leave the zero-edge odds working.

Come-out with two rolls left: don't pass has the lowest house edge available, and a 20 flat leaves room to take full max odds next roll if a point is set.

Last decision roll is a come-out with no odds available; placing any listed bet adds house edge, so I add nothing.