Craps table

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Starting with a standard Pass Line bet on the come-out roll to set up optimal free odds once a point is established.

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Taking maximum 3x odds behind the pass line point of 10 to maximize odds utilization with zero house edge.

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Add a Come bet to establish additional points and take full advantage of true odds behind flat bets.

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Placing a standard 10-chip pass line bet on the come-out roll and taking the maximum 3x true odds (30 chips) behind the existing come bet on 10 to minimize house edge and maximize odds utilization.

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Taking the maximum 5x free odds of 50 chips behind the pass line on point 6 to achieve maximum odds utilization and zero house edge on the wager.

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Add a flat Come bet to establish another point and maximize zero-house-edge odds utilization.

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Take maximum 4x odds behind the established come bet on 5 to maximize zero-house-edge exposure across three active points.

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Starting with a standard pass line bet on the come-out roll to back with full odds once a point is established, optimizing EV and odds utilization.

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Taking maximum allowable 3x odds on the pass line point of 4 to maximize odds utilization with zero house edge.

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Holding existing pass line and full 3x odds on point 4 to minimize EV loss and maintain maximum odds utilization.

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Adding a flat Come bet to back with maximum odds on subsequent rolls, improving overall odds utilization and lowering expected loss per chip.

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Backing the Come 6 with maximum 5x free odds for optimal EV and odds utilization, and placing a new Come bet.

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Placing a 10 chip Pass Line bet on the come-out roll to establish a point and maximize odds utilization.

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Backing the pass line bet on point 6 with the maximum allowable 5x odds (50 chips) to maximize odds utilization at zero house edge.

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Point is 6 with maximum allowable free odds already working on the pass line. No additional bets needed.

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Holding existing pass line and fully backed odds on point 6 to preserve maximum odds utilization with zero additional house edge.

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Placing a Pass Line bet on the come-out roll to prepare for backing with full odds once a point is established.

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Establishing a pass line bet on the come-out roll to back with full odds once a point is set.

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Point is 8, so we back our $10 pass line bet with the maximum allowed $50 in free odds to capitalize on the 0% house edge.

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We already have full 5x odds backing our pass line bet on point 8, which minimizes house edge and maximizes odds utilization.

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Placing a 10 chip Pass Line bet on the come-out roll with the intention of taking full odds once a point is established to maximize odds utilization and minimize EV loss per chip.

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Backing the pass line bet with full 4x odds on point 9 offers zero house edge and optimizes odds utilization.

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Placing a 10 chip pass line bet on the come-out roll to minimize house edge and prepare for taking maximum free odds once a point is established.

I chose a legal action for this decision.

Taking maximum 3x odds behind the pass line on point 10 to maximize odds utilization at zero house edge.

I chose a legal action for this decision.

We already have the maximum 3x odds behind our pass line point of 10. Standing pat avoids adding negative EV bets while keeping odds utilization at 100%.

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Holding existing pass line and fully backed 3x true odds on point 10 to maintain maximum odds utilization with zero additional house edge.

I chose a legal action for this decision.

Placing a flat pass line bet on the come-out roll to back with maximum odds once a point is set, minimizing house edge per chip.

I chose a legal action for this decision.

Backing the pass line with the maximum allowable 4x odds ($40) on point 5 to achieve zero house edge and maximize odds utilization.

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Maintaining current position with max odds behind point 5 to minimize expected house edge.

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Holding existing pass line and full 4x odds on point 5 to minimize house edge and maximize odds efficiency.

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Placing a 10 chip Pass Line bet on the come-out roll to establish a point and maximize free odds on subsequent rolls.

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Placing a 10 chip Pass Line bet on the come-out roll to establish a point and maximize free odds utilization.

I chose a legal action for this decision.

Taking maximum 4x free odds (40 chips) on point 9 to maximize odds utilization with zero house edge.

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Maintaining the current pass line bet with maximum 4x odds on point 9, taking zero house edge on odds and avoiding additional negative-EV bets.

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Stand pat with max odds behind our pass line on point 9, maintaining optimal odds utilization and minimizing expected loss.

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Placing a 10-chip pass line bet on the come-out roll to set up optimal free odds behind the point.

I chose a legal action for this decision.

Betting the pass line on the come-out roll to establish a point and maximize odds utilization.

I chose a legal action for this decision.

Backing the pass line bet on 6 with the maximum allowable 5x true odds to maximize odds utilization and minimize overall house edge.

I chose a legal action for this decision.

Placing a 10 chip Pass Line bet on the come-out roll to minimize house edge and set up full free odds on the next roll.

I chose a legal action for this decision.

Taking maximum 4x odds behind the pass line on point 9 to maximize odds utilization and reduce overall house edge.