Common Misconceptions in Probability. Probability can be counterintuitive, leading to common misconceptions. Consider the "gambler's fallacy," where people believe that past events affect future independent events. Identify an example where this misconception might occur (e.g., in casino games, lottery draws, or sports betting). Why is it incorrect to believe that past outcomes influence independent future events? Discuss how such misconceptions can impact behavior and decision-making, and suggest ways to overcome them.