Craps table

Come-out: a 20 pass-line flat is the lowest-edge opening bet sized so full 3x/4x/5x odds stay within the 100 stake cap once a point is set.

Point is 6 with a 20 pass-line flat. Take the full 5x odds (100, a multiple of 5) because odds are zero house edge and raise odds utilization while diluting EV loss per chip.

Come-out: don't pass has the lowest flat-bet house edge and a stake of 18 leaves room for full legal laid odds on every point.

Point is 10 with a don't-pass flat already up, so I lay the full 3x odds (54, even chips). Laid odds are zero house edge and raise odds utilization without adding negative-EV bets.

Point 10 already has max laid odds behind don't pass, which is +EV from here, and every legal new bet carries a house edge, so I add nothing.

Point is 10 with don't pass and full 3x odds already working, which is the best position available. No new bet has zero or better edge, so I add nothing and leave the wager up.

Don't pass on 10 is already a favorite and laid odds are at the 3x true-odds ceiling, so any new wager would only add house edge.

Point 10 already has don't pass with maximum 3x laid odds, and no further zero-edge odds are legal, so I add no house-edge bets.

Come-out: pass line is the lowest-edge bet that unlocks true-odds later. Flat 20 so max odds land on legal multiples (60/80/100) once a point is set.

Point is 4 with a 20 pass-line flat. Full 3x odds (60) is zero house edge and uses the entire odds ceiling, which minimizes EV loss per chip and maximizes odds utilization.

Pass odds are already at the 3x ceiling on the point-4 flat, so expected loss per chip is already minimized. No new negative-edge bets and no removal of the zero-edge odds.

Pass odds are already at the 3x ceiling on the 4, so no zero-edge stake can be added. I am not placing any negative-edge bets this roll.

Don't pass has the lowest house edge available on the come-out. A 42 flat leaves room to lay the full odds multiple within the 300 exposure cap once a point is set, which puts the most chips at zero edge.

Point is 4, so the existing don't pass is favorable and free odds have zero house edge. I lay the maximum legal even-chip odds (100) and add no negative-edge bets.

Point is 4 with don't pass and max laid odds already working; the flat is conditionally favorable and the odds are zero edge, so I add no negative-edge bets and leave both up.

Come-out only: a small pass-line flat keeps the house edge minimal and leaves room to take full 3x–5x odds once a point is set. No side bets.

Point is 4 with a 20 pass-line flat already working. Taking the full 3x odds (60) adds zero-house-edge action and uses the entire odds ceiling without placing any negative-EV bets.

Point is 4 with a 20 pass line already backed by the full 60 odds, so expected loss is already minimized and odds are fully used. No new negative-edge bet improves either score.

Point is 4 with the pass line already backed by the full 3x free odds, so exposure is already on the only zero-edge bet available. Adding place, field, hardway, or one-roll bets would only increase house edge per chip.

Pass line already has full 3x odds at zero house edge, and every legal add-on has a positive edge. Leaving the table unchanged keeps expected loss per chip as low as possible and odds fully utilized.

Pass odds are already at the 3x ceiling behind the point of 4, and every other legal bet has a house edge. Standing pat keeps this roll's expected loss at zero while the free odds stay working.

Pass odds are already at the 3x ceiling behind the point-4 pass line, and every other legal bet has a house edge. Standing pat keeps expected loss per chip at the minimum while odds utilization stays maxed.

Pass odds on the 4 are already at the 3x ceiling and are the only zero-edge action available. Adding any legal bet now would only increase expected loss, so I leave the table unchanged.

Come-out: don't pass is the lowest-edge flat bet. Stake 18 is a multiple of 6 so full 3-4-5x laid odds stay within the 100 cap and whole-chip multiples after the point is set.

Point 9 is already set, so the don't pass is now +EV and the laid odds are zero-edge; take the full 4x (72) and add no negative-edge bets.

Don't-pass odds on 9 are already at the 4x ceiling, so odds utilization is maxed and those chips have zero house edge. Adding any legal bet now would only increase expected loss per chip, so I leave the table unchanged.

Come-out with a clear table: don't pass is the lowest-edge flat bet, sized so full laid odds fit under the stake and exposure caps once a point is set.

Point is 6, so the existing don't pass is now player-favored. Maximum laid odds are zero house edge and raise odds utilization without adding expected loss.

Point 6 don't pass is now plus-EV and laid odds are already at the ceiling and fair, so I leave both working and add no negative-edge bets.

Come-out: don't pass has the lowest house edge among legal bets. A 20 flat leaves room to lay the full legal odds once a point is set, putting the rest of the exposure at zero edge.

Point is 8, so the don't-pass flat is already plus-EV and stays up. Max laid odds (96, a multiple of 6 under the 5x cap) add zero house edge and use the full odds allowance.

Don't-pass odds are already at the 96-chip whole-payout ceiling, so no further zero-edge stake is available. Adding any other legal bet would only increase expected loss per chip.

Point is on, so a don't come is the lowest-edge flat that can take full laid odds once it moves; one-roll and place bets have a higher house edge and no odds.

Lay the full 54 odds behind the don't-come 10. Those chips are at true odds, so they add no house edge and use the available odds allowance.

Point is 6 with no flat bet to back, and every legal wager has a house edge. Standing pat keeps expected chips highest over the last five rolls.

Don't pass is the lowest-edge come-out bet, and a 48 flat keeps a full laid-odds multiple legal on every point inside the 300 exposure cap.

Point is 6, so the existing don't pass is favorable and free odds are zero edge; lay the maximum legal odds and add no negative-EV bets.

Point is 6 with max legal don't-pass odds already down; the flat is plus-EV and odds are zero-edge, and every legal new bet has a house edge, so I leave the table unchanged.

Odds behind the don't pass are already at the allowed ceiling and every other legal bet has a house edge, so I leave the working don't-pass and free odds in place and add nothing on the last roll.