Final answer:
The belief that prior outcomes can influence the outcome of probabilistic events is known as the gambler's fallacy. Each event is statistically independent, and the outcome of a probabilistic event is not influenced by past outcomes.
Step-by-step explanation:
The belief that prior outcomes can influence the outcome of probabilistic events is known as the gambler's fallacy. This is when someone reasons that if a certain event has happened less frequently in the recent past, it is more likely to happen in the near future (or vice versa). However, each event is statistically independent, and the outcome of a probabilistic event is not influenced by past outcomes. For example, flipping a coin multiple times and getting heads in a row does not make it more likely to get tails on the next flip.