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Cognitive Biases

Insensitivity to Probability

Strong emotional reactions to an outcome can make people give too little weight to differences in its probability. Imagining a jackpot or a frightening loss may dominate the decision even when the odds change substantially.

THE IDEA

INSENSITIVITY TO PROBABILITY

Some outcomes evoke a much stronger emotional response than an abstract quantity of money or another numerical measure. When consequences carry sharp and strong affective meaning, as is the case with a lottery jackpot or a cancer, the opposite phenomenon occurs – variation in probability often carries too little weight. As Loewenstein, Weber, Hsee, and Welch (2001) observe, one’s images and feelings toward winning the lottery are likely to be similar whether the probability of winning is 1 in 10 million or 1 in 10,000. They further note that responses to uncertain situations appear to have an all or none characteristic that is sensitive to the possibility rather than the probability of strong positive or negative consequences, causing very small probabilities to carry great weight. This they argue, helps explain many paradoxical findings such as the simultaneous prevalence of gambling and the purchasing of insurance. It also explains why societal concerns about hazards such as nuclear power and exposure to extremely small amounts of toxic chemicals fail to recede in response to information about the very small probabilities of the feared consequences from such hazards. Support for these arguments comes from Rottenstreich and Hsee (2001), who show that, if the potential outcome of a gamble is emotionally powerful, its attractiveness or unattractiveness is relatively insensitive to changes in probability as great as from .99 to .01.

When to use it

  • Marketing: Using the emotional appeal of a low-probability reward (e.g., 'win a dream vacation') to increase participation in sweepstakes or contests.

  • Risk Communication: Understanding that providing only probability information for rare but emotionally charged events (like nuclear accidents) may not reduce public concern; instead, addressing the emotional response may be necessary.

  • Finance: Recognizing why investors may be attracted to 'lottery-like' stocks with a small chance of huge returns, leading to overpricing and poor portfolio outcomes.

  • Public Policy: Designing regulations for low-probability, high-consequence events (e.g., terrorism) that account for public insensitivity to probability, avoiding overreaction based on possibility alone.

FROM THEORY TO EVERYDAY LIFE

In practice

01

Gambling and Lottery

People buy lottery tickets even with very low probabilities (e.g., 1 in 10 million) because the emotional impact of winning is strong, making them insensitive to the actual probability.

02

Insurance Purchasing

A vivid image of a rare accident may dominate someone’s insurance decision while differences in its probability receive little attention. Buying insurance for a rare event does not by itself show this bias: the size of the possible loss also matters.

✳

A MOMENT TO REFLECT

Put it to work.

  1. Recall a time you bought a lottery ticket or insurance for a low-probability event. How did the emotional impact of the potential outcome influence your decision?

  2. Why do people often worry more about shark attacks than car accidents, despite the latter being much more probable? How does insensitivity to probability explain this?

  3. If you were communicating the risk of a rare but frightening side effect of a vaccine, what strategies might help people focus on the actual probability rather than just the possibility?

References

  1. Loewenstein, Weber, Hsee, and Welch (2001) — Loewenstein, Weber, Hsee, and Welch (2001)
  2. Rottenstreich and Hsee (2001) — Rottenstreich and Hsee (2001)

CONTINUE THE CONVERSATION

Source texts

  • Heuristics and Biases The Psychology of Intuitive Judgment (Thomas Gilovich, Dale Griffin, Daniel Kahneman)
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