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We present a method and software for ballot-polling risk-limiting audits(RLAs) based on Bernoulli sampling: ballots are included in the sample withprobability $p$, independently. Bernoulli sampling has several advantages: (1)it does not require a ballot manifest; (2) it can be conducted independently atdifferent locations, rather than requiring a central authority to select thesample from the whole population of cast ballots or requiring stratifiedsampling; (3) it can start in polling places on election night, before marginsare known. If the reported margins for the 2016 U.S. Presidential election arecorrect, a Bernoulli ballot-polling audit with a risk limit of 5% and asampling rate of $p_0 = 1\%$ would have had at least a 99% probability ofconfirming the outcome in 42 states. (The other states were more likely to haveneeded to examine additional ballots.) Logistical and security advantages thatauditing in the polling place affords may outweigh the cost of examining moreballots than some other methods might require.

Bernoulli Ballot Polling: A Manifest Improvement for Risk-Limiting Audits