The correct answer is (b). Many people choose (c) because they think that after five tails in a row, heads is more likely “to even things out.” This is called the gambler’s fallacy, which is the belief that prior random events (e.g., five tails in a row) have an influence on subsequent random events. Assuming that the coin is fair, prior tosses have no influence on future ones. Tversky and Kahneman (1974) suggest that the gambler’s fallacy is due in part to the representativeness heuristic: Five tails and one head seems more representative of a chance outcome than six tails in a row.
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