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Thinking and Deciding

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HEURISTICS AND BIASES IN PROBABILITY 153<br />

still wanted to leave room for an intuitive attachment to a heuristic: “Even though<br />

the probability of green coming up does not increase after several red — I always<br />

have a feeling it will. Red is the safe bet but intuition will occasionally make me<br />

choose green.... Iknowthatmyintuition has nothing to do with reality, but usually<br />

they coincide.”<br />

The availability heuristic<br />

People often judge probability by thinking of examples. Consider the following<br />

problem (Tversky <strong>and</strong> Kahneman, 1973, p. 211): Which is more likely, that a word<br />

in English starts with the letter K or has K as its third letter? The sensible way to<br />

try to answer that is to think of examples of words. This is the availability heuristic.<br />

Most people find it easier to think of words that start with K than words with K as<br />

their third letter, so they say that the former is more probable. Actually, the latter is<br />

more probable. Tversky <strong>and</strong> Kahneman assert that we think otherwise because our<br />

memory of spellings tends to be organized by initial letters.<br />

Here is another example (Tversky <strong>and</strong> Kahneman, 1983, p. 295): What is the<br />

probability that a seven-letter word r<strong>and</strong>omly selected from a novel would end in ing?<br />

What is the probability that such a word will have n as its sixth letter? When different<br />

groups of subjects were asked these questions, the probability estimates were higher<br />

for ing than for n. Of course, the former instances are included in the latter instances,<br />

so the former instances cannot be more frequent. Here, the conjunction fallacy is<br />

produced by the availability heuristic. The words ending in ing are more available<br />

because the suffix ing is a better retrieval cue than a single letter; subjects think of<br />

words more quickly when given this cue than when given the other.<br />

Recall the study that Lichtenstein <strong>and</strong> her colleagues made (1978) of judgments<br />

of the frequency with which different dangers caused death in the United States (Figure<br />

6.1). We have already noted that subjects tended to overestimate the frequency<br />

of low-probability events, <strong>and</strong> vice versa. Lichtenstein <strong>and</strong> her colleagues found,<br />

however, that there was another important determinant of errors in estimation: the<br />

frequency with which dangers were mentioned in newspapers. For example (taking<br />

into account the effect of frequency itself), tornadoes <strong>and</strong> electrocutions — which<br />

are almost always reported in the paper — are overestimated. Deaths resulting from<br />

smallpox vaccinations <strong>and</strong> many common diseases such as asthma are underestimated;<br />

these things are usually not reported.<br />

Researchers have also demonstrated the effects of the availability heuristic in<br />

subjects’ use of probability trees. When experts try to assess the probability of an<br />

event’s occurring — let us say an engineer wants to predict the probability of a<br />

catastrophe in a nuclear-power plant — they often use such tree diagrams as a way of<br />

trying to ensure that they have considered all of the possibilities. By breaking such a<br />

problem down in this way, we can obtain a more accurate probability assessment.<br />

To take a more familiar example, however, consider the following list of categories<br />

of the things that can prevent a car from starting:

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