Craps table

Don't pass has the lowest house edge available on the come-out. A 20-chip flat leaves room to take the full odds multiple later, which is zero-edge and improves both EV loss per chip and odds utilization.

Come-out: don't pass has the lowest house edge among legal bets. A flat of 18 keeps later max laid odds in whole-chip multiples so most chips can sit at zero edge.

Point is 9 with an 18 don't-pass flat. Max laid odds (72, a multiple of 3) are zero house edge and raise odds utilization without adding negative-EV bets.

Don't pass on 9 already has the full 4x odds (72 behind 18), so odds utilization is maxed and those odds are zero edge. Every legal new bet carries a house edge, so adding nothing avoids fresh EV loss.

Don't-pass odds on 9 are already at the 4x ceiling, so the zero-edge portion is fully used. Adding any legal bet now would only increase expected loss, so I leave the table unchanged.

Point 9 already has the full 4x laid odds behind don't pass, and no further odds are legal. Every new bet carries a house edge, so standing pat avoids extra expected loss.

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

Point 9 don't pass is now +EV and 4x laid odds are already at the ceiling with zero house edge, so I add no negative-edge bets and leave both working.

Don't pass on 9 is already favorable and laid odds are at the 4x ceiling with zero house edge. Every legal new bet has a house edge, so adding nothing minimizes expected loss.

Point is 9 with don't pass already at max laid odds, which is zero house edge and currently +EV. No new bet improves edge or odds utilization, so I leave the table unchanged.

Point 9 makes the existing don't pass plus max laid odds positive-EV and zero-EV respectively, and no new zero-edge odds are available. Adding any other legal bet would only increase expected loss, so I leave the table unchanged.

Point is 9 with don't pass already at max 4x odds; every legal new bet has a house edge, so I add nothing and leave the zero-edge odds working.

Come-out: a 20 pass-line flat is the lowest-edge opening that still allows full 3x/4x/5x odds within the 100 stake cap and whole-chip payouts once a point is set.

Point is 6 with a 20 pass-line flat, so I take the full 5x free odds (100, a multiple of 5). Odds are zero house edge and raise odds utilization without adding expected loss.

Come-out: pass line only, sized so full true-odds can be taken on any point within the 300 exposure cap. Avoids higher-edge bets.

Point is 4 with a pass-line flat already working, so I take the maximum legal free odds, which have zero house edge and improve odds utilization without adding expected loss.

Point is 4 with the pass line and odds already working, and no further zero-edge odds are legal. I add no negative-edge bets.

Come-out: don't pass has the lowest house edge of the flat bets, and a 20-chip flat lets me take the full odds multiple once a point is set without hitting the 100-chip cap.

Point is 8 with a don't-pass flat already working, so I lay the maximum whole-chip odds (96). Free odds have zero house edge and raise odds utilization without adding negative-EV bets.

Point is 8 with max laid odds already behind don't pass, which is zero house edge and favorable from here. Every legal new bet has a house edge, so I add nothing and leave the working bets up.

Come-out only: a 20 pass-line flat keeps the house edge tiny and leaves room to take the full odds multiple on any point without hitting the 100 stake cap.

Point is 5 with a 20 pass-line flat. Taking the full 4x odds (80, even chips) is zero house edge and uses the entire odds ceiling.

Point is 5 with pass odds already at the 4x ceiling, so no zero-edge stake can be added. New bets all carry house edge, so I leave the table unchanged.

Come-out: don't pass has the lowest house edge among legal bets. A 50 flat leaves room to lay maximum odds once a point is set, which adds zero-edge chips and improves both EV loss per chip and odds utilization.

Point is 9 with a 50 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; no other negative-edge bets.

Point 9 don't pass is a favorite and the laid odds are zero edge; no further odds are legal and every other bet has a house edge, so stand pat.

Point is 9 with don't pass and laid odds already working; odds cannot be increased and every legal new bet has a house edge, so I leave the fair and plus-EV bets up.

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

Point is 8 with a don't-pass flat already up. Max laid odds (96, a multiple of 6) are zero house edge and use the full odds ceiling, so I add only that and skip every negative-EV bet.

Don't pass on 8 already carries maximum laid odds, so incremental house edge is zero. Any legal addition would raise expected loss per chip, so I leave the bet working.

Point 8 don't pass is already a plus-EV position and laid odds are maxed at zero house edge, so I add no negative-edge bets and leave both wagers working.

Point 8 already has a don't-pass flat and maximum laid odds, which are zero house edge and now plus-EV, so I add no negative-edge bets and take nothing down.

Come-out: pass line only, sized at 50 so full 3-4-5x odds fit inside the 300 exposure cap once a point is set. Skipping place, field, and proposition bets because they add house edge with no odds.

Point is 10 with a pass-line flat already up; full pass odds are the only zero-edge bet available and use the entire odds ceiling.

Come-out: a small pass-line flat keeps the house edge low and leaves room to take full true-odds behind the point on later rolls.

Come-out: don't pass has the lowest flat-bet house edge and a 48 stake leaves room to lay full odds on any point within the 300 exposure cap, minimizing EV loss per chip.

Point 9 makes the existing don't pass favorable, so I keep it and add the maximum legal laid odds, a zero-edge bet that uses the full odds allowance.

Point 9 is already set, so the don't-pass flat is now plus-EV and the laid odds are zero-EV and already at the allowed ceiling. Every legal new bet carries house edge, so I add nothing and leave both bets working.

Come-out with two decisions left: a 1-chip pass line is the lowest-edge legal bet and is sized so full true odds fit every point next roll if one is set.

Point is 6 with a 1-chip pass line; full 5x odds is the only zero-edge legal add and uses the entire odds ceiling. No other bets, since each has a house edge and this is the last decision roll.