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Equation 3 · Part 1 · Two Different Bets on How to Align a Frontier Model

Symbol p_k

pk=1−(1−p)k,p_k = 1 - (1-p)^k,
pkp_k

What this part means

the probability that at least one of k attempts succeeds.

Its job in the formula

pkp_k is part of the quantity the equation computes from the expression on the right.

Where the article explains it

If one crafted probe defeats a given safety-trained policy with probability p , and successive attempts against it were independent, the probability that at least one of k attempts succeeds is

The passage around this formula

There is a simple reason a single successful transfer matters more than its raw success rate suggests. If one crafted probe defeats a given safety-trained policy with probability p , and successive attempts against it were independent, the probability that at least one of k attempts succeeds is pk=1−(1−p)kp_k = 1 - (1-p)^k. which climbs quickly even when p is small per attempt. Two caveats matter as much as the formula. Attempts against one fixed, deployed model are usually correlated rather than independent, so real gains from repeated probing fall below this bound; and a universal, transferable suffix is close to the case the formula flatters most, because it is a single artefact effective across…

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Sources cited in the article section

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