 the conjunction fallacy is a formal fallacy that occurs when it is assumed that specific conditions are more probable than a single general one. the most often-cited example of this fallacy originated with amos tversky and daniel kahneman:tversky, a. and kahneman, d. (1982) "judgments of and by representativeness". in d. kahneman, p. slovic & a. tversky (eds.), judgment under uncertainty: heuristics and biases. cambridge, uk: cambridge university press. linda is 31 years old, single, outspoken, and very bright. she majored in philosophy. as a student, she was deeply concerned with issues of discrimination and social justice, and also participated in anti-nuclear demonstrations. which is more probable? # linda is a bank teller. # linda is a bank teller and is active in the feminist movement. the majority of those asked chose option 2. however the probability of two events occurring together (in "conjunction") is always less than or equal to the probability of either one occurring aloneâformally, for two events a and b this inequality could be written as \pr(a \and b) \leq \pr(a), and \pr(a \and b) \leq \pr(b). for example, even choosing a very low probability of linda being a bank teller, say pr(linda is a bank teller) = 0.05 and a high probability that she would be a feminist, say pr(linda is a feminist) = 0.95, then, assuming independence, pr(linda is a bank teller and linda is a feminist) = 0.05 Ã 0.95 or 0.0475, lower than pr(linda is a bank teller). tversky and kahneman argue that most people get this problem wrong because they use a heuristic (an easily calculated procedure) called representativeness to make this kind of judgment: option 2 seems more "representative" of linda based on the description of her, even though it is clearly mathematically less likely. in other demonstrations they argued that a specific scenario seemed more likely because of representativeness, but each added detail would actuall
Cognitive_biases Logical_fallacies