Strategy · 4 min read

Calculate Pool Shot Risk With Your Own Practice Percentages

Risk versus reward becomes useful only when both sides are defined. The make percentage alone ignores position after success and the likely leave after a miss; a defensive percentage alone ignores whether the safety produces control or merely returns a difficult shot. This worksheet collects personal rates from one fixed layout, combines them transparently and turns the result into a choice you can revisit as your skills change.

Pool shot risk worksheet branching from offense or safety into success, miss and opponent outcome percentages
Original Ariakon evidence tree. Use your own repeated-layout rates for execution and consequence, then compare offense and safety without pretending that one percentage predicts every table.

Define two legal choices from one layout

Mark one offensive shot and one defensive shot from the same cue-ball and object-ball positions. Name the intended pocket and cue-ball zone for offense. Name the legal object-ball contact, cue-ball cover and minimum separation for safety. Use the current rules of the game you are practicing.

Do not compare a fully specified shot with a vague alternative. The three-question decision guide asks what you can execute, where the cue ball must finish and what happens on a miss. This worksheet supplies personal percentages for those questions.

Collect twenty attempts per choice

Forty-attempt evidence sheet
ChoiceAttemptsPrimary successConsequence observation
Offense20Ball made plus called position zoneAfter any failed called outcome, record easy reply, difficult/no direct reply, foul or unknown
Safety20Legal contact plus called cover and separationOpponent has kick, difficult edge, full view or ball in hand

Calculate rates without false precision

Personal percentage formulas
MeasureFormulaUse
Offense successCalled offensive successes ÷ 20Chance of earning the intended next position
Offense failure costFailed called outcomes leaving an easy opponent shot or foul ÷ all failed called outcomesConsequence when offense fails
Safety successCalled safety successes ÷ 20Chance of achieving cover and distance
Safety failure costSafety failures leaving an easy opponent shot or foul ÷ safety failuresConsequence when defense fails

Define failure and missing outcomes before dividing

A failed offensive outcome includes a legal pot that misses the called position, as well as a miss or foul. Observe the actual reply from that leave; do not classify only missed pockets. If there are no failures, the conditional failure-cost fraction is undefined and its product is zero for this record; write no observed failures, not zero future risk. Unknown result or reply removes that row from the applicable known denominator. Twenty is the planned allocation, not an excuse to invent observations.

Build a simple opportunity score

Use a planning score rather than a universal win probability. Let s be the known fraction of complete called successes, f=1−s, and c the fraction of those failed called outcomes that leave an easy reply or foul. Opportunity score is 100(s−f c), with success and danger equally weighted by convention. A legal pot missing position belongs to failure as defined above; it cannot disappear from both columns.

The subtraction makes severe failures visible but gives success and danger equal weight by convention. Change the weighting only when a match state clearly changes the value—for example, a hill-hill layout with the game ball exposed. Record the weighting so the result remains auditable.

Work a hypothetical example

Example using observed practice counts
ChoiceSuccessFailure costOpportunity scoreReading
Offense9 of 20 =45%7 of 11 failures; retain exact fraction100 × [9/20 − (11/20)(7/11)] =10Large downside
Safety14 of 20 = 70%2 of 6 failures; retain exact fraction100 × [14/20 − (6/20)(2/6)] =60Better practice evidence

Check whether the sample is stable

Repeat the forty attempts on a second day, alternating five-shot blocks so fatigue and table change affect both choices. If either success rate changes by more than 15 percentage points, label the estimate unstable and collect another session rather than averaging it into a confident claim.

A repeated fixed-layout record can identify a local practice question. Your local percentages have the same boundary: they describe this layout, table and current player—not every shot of the same name.

Transfer the number into a decision clock

Match-use decision card
QuestionEvidenceAction
Is the layout inside the tested family?Similar angle, distance and obstructionUse the worksheet as a reference
Did score or table condition change the downside?Game ball, scratch route or opponent strength differsAdjust the consequence weight explicitly
Is the evidence unstable?Sessions differ by more than 15 pointsUse the safer miss and collect more data later
Is neither option acceptable?Both scores lowSearch for a third legal containment option

Sources and further reading

References support the specific factual information above. The practical checklists are Ariakon editorial guidance.