Bowling world: predictions

Forty bowling lanes compare twelve deliveries and twelve full racks with twenty deliveries and ten full racks.

Boundaries

Predictions

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Boundaries

Use ten frames and the ordinary tenth-frame bonus rules. No fouls, dead balls, rerolls, concessions or illegal deliveries in the finite count. Count a service event after every delivered ball, including making the lane ready after the game; exclude the rack already present at its start. A full-rack reset differs from a first-ball standing-pin service. Real machinery may optimize individual cycles differently.

Separate release speed from skill. Ball translational kinetic energy is a work-exposure proxy, not a calibrated measure of damage; rotation, contact geometry, damping, impact location, oil transport and maintenance history remain outside that proxy. Open-hours cost, cost per completed player-game and cost per occupied lane-hour are distinct objectives. Forty lanes is a capacity limit, not evidence of demand.

Predictions

ID	Prediction	Confidence	Counts against it
P1	Exact pin-count grammar has 66 ordinary-frame outcomes and 241 tenth-frame outcomes, hence 66^9 × 241 complete histories. The shortest complete history uses 11 deliveries and the longest 21; a 300 game needs 12.	99%	An independent legal-history count or scorer disagrees with any statement.
P2	Twelve strikes score 300 and require 12 full-rack service events. Ten open frames require 20 deliveries, 10 full-rack events and 10 standing-pin events. Nine strikes followed by 0,0 score 240 using 11 deliveries and 10 full racks. Perfect score does not minimize every mechanical count.	99%	Any independently scored trace or service ledger differs.
P3	At equal mass, 12 releases have less translational energy than 20 at the same speed. Increasing the 12-release speed by more than sqrt(20/12) reverses the ordering. At 22 versus 16 mph the ratio is 1.134375.	99%	The energy ledger or unit conversion contradicts the crossover or ratio.
P4	In the saturated, human-paced limit with 30 seconds between deliveries, no stoppages or changeovers, both the perfect and all-open policies make 120 deliveries per lane-hour. Perfect play completes 10 player-games/hour versus 6; full-rack events rise from 60 to 120/hour.	99%	The explicit schedule or capacity accounting differs.
P5	When identical demand is below both capacities and games are bought individually, faster play alone does not create extra game sales. With fixed demand for occupied lane-hours instead, game completions can increase while hourly lane revenue remains unchanged.	99%	An otherwise identical accounting comparison increases the constrained sales quantity.
P6	A fixed-cost increase changes total cost and profit but not mechanical capacity or the legal score universe. Urban/rural labels alone cannot change physics.	99%	Altering only fixed occupancy cost changes a mechanical quantity.
P7	The set of score totals is a lossy summary: at least one score has legal histories with different delivery counts or full-rack counts. An operating-cost model based on final score alone therefore cannot reconstruct its workload.	99%	Exhaustive score/operation support has a single workload for every score.
P8	For a fixed positive demand and the declared positive unit costs, a finite search minimizing total cost will choose a different policy from a search maximizing served player-games in at least one registered low-demand/high-demand scenario pair. No single ordering is supplied by the game rules.	85%	The declared searches select the same policy throughout both scenario comparisons (ties resolved in listed policy order).

Bowling world: predictions?

Boundaries?

Predictions?

What this cannot register?

Bowling world: predictions

Boundaries

Predictions

What this cannot register