Craps table

I chose a legal action for this decision.

Don't pass has the lowest flat house edge on the menu (1.36%), and a 50-chip flat leaves 250 chips of exposure room for zero-edge laid odds once a point is set. The prior streak is irrelevant because the dice are independent.

I chose a legal action for this decision.

The don't pass on 10 is a strong position (it wins 2/3 of the time), so I'm keeping it up. I'm adding the maximum zero-edge laid odds and avoiding every bet that carries a house edge.

I chose a legal action for this decision.

My don't pass on 10 is now a 2:1 favourite and its laid odds are fair and already at the maximum, so I keep both. Every new bet available carries a house edge, so I add nothing.

I chose a legal action for this decision.

Don't pass has the lowest house edge on the come-out roll (about 1.36%). A modest flat bet leaves room under the exposure cap to lay free odds once a point is set.

I chose a legal action for this decision.

It is a come-out roll, so the only odds-eligible flat bet is pass or don't pass. Don't pass has the lowest house edge on the menu at about 1.36%, and once a point is set I can lay free odds behind it to keep the average edge per chip low.

I chose a legal action for this decision.

The don't pass is now favoured against the 8, winning about 6/11 of the time, so I keep it. Laying the maximum 96 in free odds (a multiple of 6) adds zero-house-edge action and maximises odds utilisation.

I chose a legal action for this decision.

With the point on, my don't pass on 8 now has positive expected value and its laid odds are zero-edge, so I keep both. Any new bet would add house edge, so I add nothing.

I chose a legal action for this decision.

Pass line is one of the lowest-edge bets available on the come-out. Keeping the flat bet moderate leaves exposure room to add zero-edge free odds once a point is set.

I chose a legal action for this decision.

Free odds carry zero house edge, so taking the full 4x (80 chips) behind the 20-chip pass line on the 5 lowers my average edge per chip. I'm avoiding any additional bets that carry a house edge.

I chose a legal action for this decision.

Don't pass has the lowest house edge available on the come-out (about 1.36%). A moderate flat stake leaves exposure room to lay free odds once a point is set.

I chose a legal action for this decision.

The pass line has one of the lowest house edges on the table, about 1.41%. A 50-chip flat bet leaves room under the 300 exposure cap to add full zero-edge odds behind it on any point.

I chose a legal action for this decision.

Free odds behind the pass line on 8 carry zero house edge. 100 is the maximum allowed here and is a multiple of 5, which keeps the 6:5 payouts in whole chips. This lowers my average edge per chip, and I'm adding no negative-EV bets.

I chose a legal action for this decision.

My pass line on 8 already carries the maximum allowed odds, which have zero house edge. Any extra bet would only add house edge, so the lowest-loss choice is to stand pat.

I chose a legal action for this decision.

I'm keeping the zero-edge pass odds and adding a 25-chip come bet, the lowest-edge flat bet available. That leaves 125 chips of exposure for free odds once the come bet travels to a point.

I chose a legal action for this decision.

Pass line is one of the lowest-edge bets available on the come-out. A moderate flat bet leaves room under the 300 exposure cap to add zero-edge free odds once a point is set.

I chose a legal action for this decision.

Don't pass carries the lowest house edge on the come-out (1.36%). The 50-chip flat leaves room under the 300 exposure cap to lay zero-edge free odds once a point is set.

I chose a legal action for this decision.

Don't pass has the lowest house edge available on the come-out (about 1.36%). A modest flat stake leaves room to lay free odds once a point is set.

I chose a legal action for this decision.

Don't pass carries the lowest house edge available on the come-out (1.36%). A moderate 50-chip flat leaves room under the 300 exposure cap to lay zero-edge odds once a point is set.

I chose a legal action for this decision.

The pass line is one of the lowest-edge bets on the menu (about 1.41%), and it sets up a zero-edge free odds bet once a point is established. I'm skipping the high-edge one-roll and hardway bets.

I chose a legal action for this decision.

Free odds carry zero house edge, so maxing them behind the pass line on 9 lowers my average edge per chip without adding any expected loss. I'm skipping the place, field and prop bets because each carries a house edge.

I chose a legal action for this decision.

Full 4x odds are already working behind the pass line on 9, a zero-edge bet. Every other available bet carries a house edge, so the lowest-EV-loss choice is to add nothing and keep the odds on.

I chose a legal action for this decision.

Full free odds on the 9 carry zero house edge, so they stay up. A 20-chip come bet has a low 1.41% edge and sets up another chance to back it with free odds next roll.

I chose a legal action for this decision.

The pass line already carries maximum odds. A 20-chip come bet is a low-edge flat bet, and once it travels to a point it can take free odds within the remaining exposure.

I chose a legal action for this decision.

Free odds carry zero house edge, so maxing the 4x odds behind the come 5 lowers my average edge per chip. It also improves odds utilisation and stays within the exposure limit.

I chose a legal action for this decision.

Both existing flat bets already carry the maximum odds. A 20-chip come bet has the lowest house edge among the new bets on offer, and it leaves 80 chips of exposure for full odds once it travels to a point.

I chose a legal action for this decision.

Full free odds on the come 5 carry zero house edge, which lowers my average edge per chip. I'm skipping the field and other proposition bets because each of them has a positive house edge.

I chose a legal action for this decision.

The pass line is the lowest-edge bet available on the come-out. A 50-chip flat stake leaves 150 chips of exposure for zero-edge odds once a point is set, and the existing come-5 odds stay up because they carry no edge.

I chose a legal action for this decision.

Free odds behind the pass line on 6 carry zero house edge. Taking the 100-chip maximum lowers my average edge per chip and stays within the exposure limit.

I chose a legal action for this decision.

The pass line has the lowest house edge on offer for this come-out roll. A 40-chip flat leaves 160 chips of exposure room to back it with zero-edge free odds once a point is set. My existing come 5 bet and its odds stay up; the odds are off on this roll anyway.

I chose a legal action for this decision.

Free odds have zero house edge, so I'm taking the maximum 100 behind the pass line on the 6. That fits within the remaining 160 exposure and avoids any negative-EV bets.

I chose a legal action for this decision.

Both flat bets already carry the maximum zero-edge odds the limits allow. With only 60 chips of exposure left, any new bet would add house edge without room for full odds, so I'm standing pat.

I chose a legal action for this decision.

Don't pass has the lowest house edge on the come-out (about 1.36%). A 50-chip flat bet leaves room under the 300 exposure cap to lay full free odds once a point is set.

I chose a legal action for this decision.

With the point on 8, the don't pass is favored to win (6:5 against the 8), so it stays up. Laying the maximum 96 in odds adds zero-house-edge action and raises odds utilization.

I chose a legal action for this decision.

My don't pass on 8 with laid odds is now a favourable bet (7 comes before 8 six times in eleven), so I keep it and the odds working. Every other wager on the menu carries a house edge, so I add nothing.

I chose a legal action for this decision.

The don't pass on 8 is already favorable now that the point is set, and its laid odds are maxed at zero house edge. Taking anything down or adding house-edge bets would only raise the expected loss per chip.

I chose a legal action for this decision.

With the point at 8, the don't pass flat bet is now favourable to me, and the laid odds carry no house edge, so keeping both is correct. Any new bet would add house edge, and my odds are already at the allowed maximum.

I chose a legal action for this decision.

After the point is set, the don't pass on 8 has positive expectation and the laid odds are already at the 0-edge maximum, so taking either down would only give up value. Every other bet on offer carries a house edge, so I am adding nothing.

I chose a legal action for this decision.

With the point on 8, the don't pass bet is now in a strong spot, and the laid odds already at the cap carry no house edge, so both stay up. Every new bet on the menu has a negative expected value, so adding nothing keeps the expected loss lowest.

I chose a legal action for this decision.

With the point at 8, my don't pass is now favorable and my laid odds are already at the maximum at zero house edge, so I keep both. Every new bet on offer carries a house edge, so I add nothing.

I chose a legal action for this decision.

This is the final decision roll and a point set now could not be backed with odds later. Every available bet has a negative expected value, so placing nothing best protects the expected bankroll.