A random experiment is a process or action that leads to one or more outcomes, where the result cannot be predicted with certainty. For example, tossing a coin can result in either heads or tails, but we cannot know in advance which side will land face up. Each time the experiment is conducted, the outcome may vary, demonstrating the element of chance involved.
In a random experiment, the set of all possible outcomes is called the sample space. For instance, rolling a die has a sample space of six outcomes: 1, 2, 3, 4, 5, 6. Understanding random experiments is essential in fields like statistics and probability, where they help analyze and predict patterns in uncertain situations.