Equation 3 · Part 2 · OpenAI and Claude on Formal Reasoning: What the Benchmarks Show, and Where They Mislead
Symbol p
What this part means
the probability.
Its job in the formula
p is part of the quantity the equation computes from the expression on the right.
Full expression→Symbol p→Article meaning
Where the article explains it
If a single attempt at a problem succeeds with probability p , and k attempts were independent, the probability that at least one succeeds is .
The passage around this formula
Consider what the o1 numbers alone expose about how these gains are produced. If a single attempt at a problem succeeds with probability p , and k attempts were independent, the probability that at least one succeeds is . a curve that climbs fast and then saturates. It is tempting to read o1’s jump from 74% (one sample) to 83% (64-sample consensus) to 93% (1,000-sample rerank) as roughly this shape. It is not, for…
Learn the underlying idea
A variable is a named place for a value. Its letter is a local label: x can mean position in one formula and a data point in another.
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Sources cited in the surrounding passage
These citations provide research context; check each source for the exact claim it supports.