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Risk is the potential harm that may arise from some present process or from some future event. It is often mapped to the probability of some event which is seen as undesirable. Usually the probability of that event and some assessment of its expected harm must be combined into a believable scenario (an outcome) which combines the set of risk, regret and reward probabilities into an expected value for that outcome. There are many informal methods which are used to assess (or to "measure" although it is not usually possible to directly measure) risk, and (for some applications) formal methods such as value at risk.
In scenario analysis "risk" is distinct from " threat." A threat is a very low-probability but serious event - which some analysts may be unable to assign a probability in a risk assessment because it has never occurred, and for which no effective preventive measure (a step taken to reduce the probability or impact of a possible future event) is available. The difference is most clearly illustrated by the precautionary principleThe precautionary principle a phrase coined circa 1988, is the ethical principle that if the consequences of an action, especially the use of technology, are unknown but are judged by some scientists to have a high risk of being negative from an ethical p which seeks to reduce threat by requiring it to be reduced to a set of well-defined risks before an action, project, innovation or experiment is allowed to proceed.
A more specific example is the preparedness of the United States of AmericaThe United States of America also referred to as the United States U. America ¹ or the States is a federal republic in central North America, stretching from the Atlantic in the east to the Pacific Ocean in the west. It shares land borders with Canada in prior to the devastating attack on September 11th, 2001. Although the Central Intelligence AgencyThis article is about the foreign intelligence service of the United States of America. For other uses of the term CIA see CIA (disambiguation . The Central Intelligence Agency CIA is the United States' foreign intelligence agency, responsible for obtaini had often warned of a "clear and present danger" of using planes as weapons, this was considered a threat, not a risk. Accordingly, no comprehensive scenarios of probabilities and counter-measures were ever prepared for the type of attack that occurred. Taking a frequentist probability approach, a threat cannot be characterized as a risk without at least one specific incident wherein the threat can be said to have "realized". From that point, there is at least some basis to characterize a probability, e.g. "in the entire history of air travel, X flights have led to 1 incident of..." By contrast Bayesian probability methods would allow threats to be assigned a degree of belief, even if they had never happened before, and this could then be treated as a probability.