Paytable LabInvented examples · Australia · adults
Open a question
Rule sheet / W · fictional path game
Is a path a line?
Not in this exercise. Specimen W is separate from Specimen L. Its eight paths, per-path credit and award are defined here; nothing about W changes L's active lines.
W–01 / Exactly one A path
Invented Specimen W · complete case
01 / stated
Three reels, two positions each: top or bottom. All 2 × 2 × 2 = 8 top/bottom position paths across reels 1, 2 and 3 are active. One credit is staked on each path, at AUD $0.01 per credit. A A A on a path pays 4 credits per credit bet on that path; no other combination or feature is listed. A, B and · are distinct symbols; no substitutions are defined.
02 / arrangement
Three top A symbols
Two positions on each of three reels
Position
Reel 1
Reel 2
Reel 3
Top
A
A
A
Bottom
B
B
B
A and B are distinct letter symbols. Underlined cells show the top–top–top path, not a horizontal line rule imported from L.
03 / test
Count paths, not rows
Each reel has exactly one A position. Choosing A on reel 1, A on reel 2 and A on reel 3 gives 1 × 1 × 1 = 1 qualifying path: top–top–top.
Each of the other seven paths includes at least one B, and only A A A has a listed award.
04 / outcomeOne path qualifies
4 credits per path-credit × 1 credit on that path = 4 credits = AUD $0.04 gross prize.
Total stake: 8 paths × 1 credit × $0.01 = $0.08. Net difference: $0.04 − $0.08 = −$0.04.
W–02 / The missing W instruction
Incomplete variant · do not assume
01 / stated
Keep W's eight active paths, one cent per path-credit and A A A award, but replace one top A with a new symbol W. No rule states what W means in this variant. L's W substitution rule does not apply here.
02 / arrangement
Top: A W A
W's meaning has not been supplied
Position
Reel 1
Reel 2
Reel 3
Top
A
W
A
Bottom
B
B
B
W is an undefined letter symbol in this variant, not automatically a substitute.
03 / test
Can W complete A A A?
The only all-top candidate is A W A. No stated condition says whether W can stand for A or has its own award. No path displays a literal A A A.
04 / outcomeNot determined
Whether an award is due for A W A, and thus the full gross prize and net difference, is not determined. The stake is known: 8 credits = AUD $0.08.
Do not treat missing information as either a win or a definitive zero payout.
Conceptually separate specimensThe separated blank sheets remind us not to transfer rules between L and W. They are not path diagrams or payout evidence; the selectable W cases above remain authoritative.
