Independent Trials

Independent trials refer to experiments or events where the outcome of one trial does not influence or affect the outcome of another. Each trial's result is unaffected by previous results, meaning the chances remain consistent throughout. For example, flipping a coin multiple times is an independent trial—each flip has a 50% chance of landing heads or tails, regardless of previous flips. This concept is essential in probability because it allows us to analyze and predict the likelihood of sequences of events with consistent odds, simplifying calculations and understanding of random processes.