A worked example
On d20, reaching 15 succeeds 30% normally, 51% taking high and 9% taking low.
Compare a single die with taking the maximum or minimum of two dice.
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If single success is p: take-high = 1 − (1−p)²; take-low = p².
On d20, reaching 15 succeeds 30% normally, 51% taking high and 9% taking low.
Two independent fair dice; ignores critical results and modifiers.
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