Fallacies: Conjunction Fallacy
The Conjunction Fallacy is a cognitive error that occurs when people overestimate the probability of two events occurring together, compared to the probability of each event occurring separately. This fallacy arises from our tendency to neglect the concept of joint probability and instead rely on intuitive, narrative-based thinking.
Example 1:
Linda is a woman who is active in her community and has a strong sense of social justice. Which of the following statements is more likely?
A) Linda is a bank teller.
B) Linda is a bank teller and an activist for feminist causes.
Many people would intuitively choose option B, because it provides a more detailed and coherent narrative about Linda’s personality and interests. However, this choice is incorrect from a probabilistic perspective.
Why?
The probability of two events occurring together (Linda being a bank teller and an activist) is generally lower than the probability of each event occurring separately. This is because the conjunction of two events requires that both events occur simultaneously, which reduces the overall likelihood.
Example 2:
A study asks participants to estimate the probability of the following scenarios:
A) A person dies in a car accident.
B) A person dies in a car accident and has a rare genetic disorder.
Again, many people would overestimate the probability of scenario B, due to the conjunction fallacy.
Why is this fallacy problematic?
- Biased decision-making: The Conjunction Fallacy can lead to poor decision-making, as individuals may overestimate the likelihood of unlikely events occurring together.
- Inaccurate risk assessments: This fallacy can result in inaccurate assessments of risks and probabilities, which can have significant consequences in various domains (e.g., finance, medicine, policy-making).
How to avoid this fallacy?
- Apply probability rules: Use basic probability principles, such as the multiplication rule for independent events, to calculate joint probabilities.
- Avoid narrative thinking: Be cautious of intuitive, story-based thinking and instead rely on systematic, probabilistic reasoning.
- Consider alternative explanations: Think about possible alternative explanations or scenarios that could influence your estimates of probability.
By being aware of the Conjunction Fallacy, you can improve your critical thinking skills and make more informed decisions by considering the joint probabilities of events rather than relying on intuitive narratives.
Filed under: Uncategorized - @ September 25, 2024 8:23 pm