This study aimed to better understand the cognitive underpinnings of people’s intuitions concerning the conjunction rule of probabilities. Using a novel methodology to study the con- flict between representativeness and logic considerations in the conjunction fallacy, results revealed that, contrary to what is commonly assumed, assessments of representativeness are not automatic and rapid but are in fact most influential when par- ticipants are not pressured by time to provide a judgment. Im- plications for the different dual-system accounts of probability judgments will be discussed.