In criminal law, Blackstone's ratio (more recently referred to sometimes as Blackstone's formulation) is the idea that:

It is better that ten guilty persons escape than that one innocent suffer.^[1]

as expressed by the English jurist William Blackstone in his seminal work Commentaries on the Laws of England, published in the 1760s.

The idea subsequently became a staple of legal thinking in jurisdictions with legal systems derived from English criminal law and continues to be a topic of debate. There is also a long pre-history of similar sentiments going back centuries in a variety of legal traditions.

In the United States, high courts in individual states continue to adopt specific numerical values for the ratio, often not 10:1. As of 2018, courts in 38 states had adopted such a position.^[2]

The phrase, repeated widely and usually in isolation, comes from a longer passage, the fourth in a series of five discussions of rules of presumption by Blackstone:

Fourthly, all presumptive evidence of felony should be admitted cautiously, for the law holds that it is better that ten guilty persons escape than that one innocent suffer. And Sir Matthew Hale in particular lays down two rules most prudent and necessary to be observed: 1. Never to convict a man for stealing the goods of a person unknown, merely because he will give no account how he came by them, unless an actual felony be proved of such goods; and, 2. Never to convict any person of murder or manslaughter till at least the body be found dead; on account of two instances he mentions where persons were executed for the murder of others who were then alive but missing.

The phrase was absorbed by the British legal system, becoming a maxim by the early 19th century.^[3] It was also absorbed into American common law, cited repeatedly by that country's Founding Fathers, later becoming a form of words drilled into law students all the way into the 21st century.^[4]

Other commentators have echoed the principle. Benjamin Franklin stated it as: "it is better 100 guilty Persons should escape than that one innocent Person should suffer".^[5]

Defending British soldiers charged with murder for their role in the Boston Massacre, John Adams also expanded upon the rationale behind Blackstone's Ratio when he stated:

We find, in the rules laid down by the greatest English Judges, who have been the brightest of mankind; We are to look upon it as more beneficial, that many guilty persons should escape unpunished, than one innocent person should suffer. The reason is, because it’s of more importance to community, that innocence should be protected, than it is, that guilt should be punished; for guilt and crimes are so frequent in the world, that all of them cannot be punished; and many times they happen in such a manner, that it is not of much consequence to the public, whether they are punished or not. But when innocence itself, is brought to the bar and condemned, especially to die, the subject will exclaim, it is immaterial to me, whether I behave well or ill; for virtue itself, is no security. And if such a sentiment as this, should take place in the mind of the subject, there would be an end to all security what so ever.^[6]

The immediate precursors of Blackstone's ratio in English law were articulations by Hale (about 100 years earlier) and Fortescue (about 300 years before that), both influential jurists in their time. Hale wrote: "for it is better five guilty persons should escape unpunished, than one innocent person should die." Fortescue's De Laudibus Legum Angliae (c. 1470) states that "one would much rather that twenty guilty persons should escape the punishment of death, than that one innocent person should be condemned and suffer capitally."^[7]

Some 300 years before Fortescue, the Jewish legal theorist Maimonides wrote that "the Exalted One has shut this door" against the use of presumptive evidence, for "it is better and more satisfactory to acquit a thousand guilty persons than to put a single innocent one to death."^[7][8][9]

Maimonides argued that executing an accused criminal on anything less than absolute certainty would progressively lead to convictions merely "according to the judge's caprice" and was expounding on both Exodus 23:7 ("do not bring death on those who are innocent and in the right") and an Islamic text, the Jami' al-Tirmidhi.

Islamic scholar Al-Tirmidhi quotes Muhammad as saying, "Avoid legal punishments as far as possible, and if there are any doubts in the case then use them, for it is better for a judge to err towards leniency than towards punishment". A similar expression reads, "Invoke doubtfulness in evidence during prosecution to avoid legal punishments".^[10]

Other statements, some even older, which seem to express similar sentiments have been compiled by Alexander Volokh. A vaguely similar principle, echoing the number ten and the idea that it would be preferable that many guilty people escape consequences than a few innocents suffer them, appears as early as the narrative of Sodom and Gomorrah in Genesis (at 18:23–32),^[7]

Abraham drew near, and said, "Will you consume the righteous with the wicked? What if there are fifty righteous within the city? Will you consume and not spare the place for the fifty righteous who are in it?^[11] ... What if ten are found there?" He [The Lord] said, "I will not destroy it for the ten's sake."^[12]

With respect to the destruction of Sodom, the text describes it as ultimately being destroyed, but only after the rescuing of most of Lot's family, the aforementioned "righteous" among a city or overwhelming wickedness who, despite the overwhelming guilt of their fellows, were sufficient by their mere presence to warrant a "stay of execution" of sorts for the entire region, slated to be destroyed for being uniformly a place of sin. The text continues,

Early the next morning Abraham got up and returned to the place where he had stood before the Lord. He looked down toward Sodom and Gomorrah, toward all the land of the plain, and he saw dense smoke rising from the land, like smoke from a furnace.

So when God destroyed the cities of the plain, he remembered Abraham, and he brought Lot out of the catastrophe that overthrew the cities where Lot had lived.^[13]

Similarly, on 3 October 1692, while decrying the Salem witch trials, Increase Mather adapted Fortescue's statement and wrote, "It were better that Ten Suspected Witches should escape, than that one Innocent Person should be Condemned."^[14]

The Russian writer Fyodor Dostoevsky in his work The Brothers Karamazov,^[15][16] written in 1880, referred to the phrase "It is better to acquit ten guilty than to punish one innocent!" (Russian: "Лучше оправдать десять виновных, чем наказать одного невиновного!"), which has existed in Russian legislation since 1712, during the reign of Peter the Great^[17][18]

Even Voltaire in 1748 in the work of Zadig used a similar saying, although in French his thought is stated differently than in the English translation: "It is from him that the nations hold this great principle, thet it is better to risk saving a guilty man than to condemn an innocent man."

It has been claimed that the Ratio contains the message that government and the courts must err on the side of bringing in verdicts of innocence, and that this has remained constant.^{[citation needed]}

Given that Sir Matthew Hale and Sir John Fortescue in English law had made similar statements previously, some kind of explanation is required for the enormous popularity and influence of the phrase across all the legal systems derived from English law in the wake of the publication of Blackstone's Commentaries.

Cullerne Bown has argued that both the rise and fall in significance of the Ratio can be explained by the growing mathematisation of society. It rises to prominence at about the same time as Cesare Beccaria articulated the social principle of the greatest good for the greatest number, the starting point for Utilitarianism and, like the Ratio, quantitative in a loose way. Thus the Ratio's rise "can be seen as a new kind of buttress of the law that was required in a new kind of society."^[19][20] He has explained its more recent decline as a reflection of a more sophisticated mathematical awareness in society, as reflected in the development of diagnostic testing in the 1920s. From a mathematical point of view, the Ratio is methodologically flawed, and once the Ratio lost its claim to the authority of mathematics, its usefulness declined. Today, its former role in justifying the policies of the criminal courts is primarily occupied by Herbert L. Packer's Two Models theory, an expanded doctrine of rights, and arguments drawn from law and economics.^[21]

Blackstone's principle influenced the nineteenth-century development of "beyond a reasonable doubt" as the burden of proof in criminal law.^[22] Many commentators suggest that Blackstone's ratio determines the confidence interval of the burden of proof; for example Jack B. Weinstein wrote:^[23]

Blackstone would have put the probability standard for proof "beyond a reasonable doubt" at somewhat more than 90%, for he declared: "It is better that ten guilty persons escape than one innocent suffer."

Pi et al. advocate formalizing this in jury instructions.^[24] However, Daniel Epps argues that this is too simplistic, ignoring such factors as jury behaviour, plea bargains, appeals procedures, and "the percentage of innocent persons among the pool of charged defendants".^[25]

Particularly in the United States, Blackstone's ratio continues to be an active source of debate in jurisprudence. For example Daniel Epps and Laura Appleman exchanged arguments against and in favour of its continuing influence in the Harvard Law Review in 2015.^[26][27]

Legal and moral philosopher Fritz Allhoff has supported the essence of Blackstone's ratio. He submits that punishing the innocent "violates notions of desert". He further defends this position by appealing to the liability principle, which is grounded in just war theory. He suggests that "the guilty are liable to punishment, whereas the innocent are not" making the punishment of the innocent manifestly unjust, therefore the innocent should face no prospect of being punished; and Blackstone's Ratio is a means to this end. He has, however, criticised the fact that Blackstone's ratio offers a static burden of proof, wherein prosecuting someone facing trial for a $10 fine would require the same standard of evidence as prosecuting someone facing the death penalty—under Blackstone's ratio at least. He comments: "If the tolerance for wrongful convictions varied based on the punishment, it would more accurately track our—or at least my—moral intuitions", and suggests that the greater the consequence of a guilty verdict, the greater the standard of proof required.^[28]

Authoritarian personalities tend to take the opposite view. According to the Communist defector, Jung Chang, similar reasoning was deployed during the uprisings in Jiangxi, China, in the 1930s: "Better to kill a hundred innocent people than let one truly guilty person go free";^[29] and during uprisings in Vietnam in the 1950s: "Better to kill ten innocent people than let a guilty person escape."^[30] Similarly in Cambodia, Pol Pot's Khmer Rouge adopted a similar policy: "better arrest an innocent person than leave a guilty one free."^[31] Wolfgang Schäuble referenced this principle while saying that it is not applicable to the context of preventing terrorist attacks.^[32] Former American Vice President Dick Cheney said that his support of American use of "enhanced interrogation techniques" against suspected terrorists was unchanged by the fact that 25% of CIA detainees subject to that treatment were later proven to be innocent, including one who died of hypothermia in CIA custody. "I'm more concerned with bad guys who got out and released than I am with a few that in fact were innocent." Asked whether the 25% margin was too high, Cheney responded, "I have no problem as long as we achieve our objective. ... I'd do it again in a minute."^[33]

Volokh considers two criminal cases in which the defense told the jury "that no innocent person should be convicted and that it is better that many guilty go unpunished than one innocent person be convicted" as references to a Blackstone's ratio with values of both "infinite" and "many" guilty men to an innocent one.^[34] He notes its importance in the inspiration of Western criminal law, but concludes by citing a question of its soundness:

The story is told of a Chinese law professor, who listened as a British lawyer explained that Britons were so enlightened that they believed it was better that ninety-nine guilty men go free than that one innocent man be executed. The Chinese professor thought for a second and asked, "Better for whom?"^[35]

• Al-Ma'idah, the fifth chapter (sūrah) of the Quran, "whoever kills a person, unless it be for man-slaughter or for mischief in the land, it is as though he had killed all men."
• False positive and false negative
• Type I and type II errors.
• Miscarriage of justice
• False accusation

• Epps, Daniel (9 February 2015). "The Consequences of Error in Criminal Justice". Harvard Law Review. 128 (4): 1065–1151.
• Volokh, Alexander (November 1997). "n Guilty Men". University of Pennsylvania Law Review. 146 (1): 173–216. doi:10.2307/3312707. JSTOR 3312707.

Media related to Blackstone's ratio at Wikimedia Commons