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apexy-demo-reasoning-001
THE TASK

A fair six-sided die is rolled twice. Given that the sum is 8, what is the probability that at least one roll is a 6?

THE REASONING
  1. 01

    Enumerate the ordered outcomes with sum 8: (2, 6), (3, 5), (4, 4), (5, 3), and (6, 2).

  2. 02

    Two of the five equally likely outcomes contain a 6.

  3. 03

    The conditional probability is 2 / 5, or 40%.

THE OUTCOME

2/5 (40%)

Demo data · Not a production dataset
THOUGHTFULLY STRUCTURED. OPEN TO INSPECTION.

These hand-written examples demonstrate formats and workflows.
They are illustrative, not representative quality or scale claims.