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Equation 6 · Part 4 · Evaluating Trajectories, Not Answers

subtraction

1−(1−p)kagainstpk.1 - (1-p)^k \qquad \text{against} \qquad p^k .
subtraction

What this part means

Subtract the following term or group from the preceding one. A leading minus marks a negative quantity.

Its job in the formula

Subtract the following term or group from the preceding one. A leading minus marks a negative quantity.

The passage around this formula

The two quantities point in opposite directions as sampling increases. With per-attempt success probability p and independent attempts, compare 1−(1−p)kagainstpk1 - (1-p)^k \qquad \text{against} \qquad p^k . The first rises toward one; the second falls toward zero. They are computed from the same runs and answer entirely different questions, and reporting the first while the deployment depends on the second is the most common quiet misrepresentation in agent evaluation.

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Learn the underlying idea

Addition combines quantities; subtraction measures the signed difference between them. Parentheses show what is combined before the rest of the expression is evaluated.

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Sources cited in the article section

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