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The conjunction fallacy manifests when individuals judge the probability of a combined event (being a bank teller AND active in the feminist movement) as higher than the probability of one of its constituent parts (being a bank teller). Mathematically, the second event is a subset of the first, so $P(A \cap B) \le P(A)$.

Conditions: Comparing the probability of a subset event against its superset event; Events are defined such that one is contained within the other

The conjunction fallacy manifests when individuals judge the probability of a combined event (being a bank teller AND active in the feminist movement) as higher than the probability of one of its constituent parts (being a bank teller). Mathematically, the second event is a subset of the first, so $P(A \cap B) \le P(A)$.

Conditions: Comparing the probability of a subset event against its superset event; Events are defined such that one is contained within the other