Appeal to Probability
What it is
Treating something as certain, or as having happened, because it is possible or has some probability — “it could happen, so it will,” or “it could have happened, so it did.”
How it works
Real-world examples
- •After the 2004 U.S. election, activists on the left argued that electronic voting machines in Ohio could have been manipulated and treated the possibility as evidence that they were; after 2020, activists on the right made the same argument about a different vendor. In both cases investigations found no evidence that the possibility had been realized.
- •Home-security and identity-theft advertising describes the break-in or the stolen identity in detail and omits the base rate; the vividness of the possible loss does the selling.
- •“Someone has to win” lottery reasoning treats the certainty that some ticket wins as if it raised the chance that this ticket does.
- •Precautionary arguments sometimes hold that because a technology could cause harm it must be banned, without weighing the probability against the harms of the alternative; the argument is deployed against nuclear power more often on the left and against vaccines more often on the right, and is invalid in both.
- •A manager refuses to approve a plan because “something could go wrong,” which is true of every plan and therefore not a reason against this one.
Ethical guidelines
- ●When you raise a possibility, attach a probability, however rough, and say what it is based on.
- ●Do not argue from opportunity to occurrence; that a thing could have happened is the beginning of an investigation, not its conclusion.
- ●In marketing and advocacy, present the rate alongside the scenario; a vivid possible harm with no frequency is a manipulation of probability neglect.
- ●Apply the precautionary principle symmetrically: the alternative to the risky option also has risks, and they must be weighed at their probabilities.
How to defend against it
- ►Ask “how likely?” and insist on a number or a range, not an adjective; if none can be given, the possibility is not yet an argument.
- ►Ask “did it?” — separate the modal claim (could) from the factual claim (did) and ask for evidence specific to the second.
- ►Convert to natural frequencies (Gigerenzer 2002): “out of a thousand people in my situation, how many does this happen to?” restores the sensitivity to probability that vividness removes.
- ►Name the symmetry: everything possible could go wrong; ask what makes this possibility worth acting on rather than all the others.
- ►When fear or hope is doing the work, apply the 24-hour rule before deciding; probability neglect is strongest in the moment the scenario is described.
From the Defense Playbook
Test any single argument by asking Toulmin's six questions of it: what is the claim, what are the grounds, what warrant connects them, what backs the warrant, how strongly is the claim qualified, and under what conditions would it fail?
When told that one action will lead through a chain of events to a dramatic outcome, lay the chain out link by link, ask what makes each link likely, and remember that the probability of the whole chain is lower than that of its weakest link.
Every playbook entry states how strong its evidence is and when not to use it. Browse the full playbook.
References
- Sunstein, C. R. (2002). Probability neglect: Emotions, worst cases, and law. Yale Law Journal, 112(1), 61-107Probability neglect: vivid outcomes make people insensitive to how likely they are.
- Rottenstreich, Y., & Hsee, C. K. (2001). Money, kisses, and electric shocks: On the affective psychology of risk. Psychological Science, 12(3), 185-190The finding that affect-rich outcomes flatten probability weighting, so possibility is treated much like certainty.
- Gigerenzer, G. (2002). Calculated Risks: How to Know When Numbers Deceive You. Simon & SchusterThe natural-frequency format recommended for restoring probability sensitivity.