Random Experiment and Sample Space

A random experiment is any process whose outcome cannot be predicted with certainty in advance, even though the set of all possible outcomes is known. The collection of every distinct possible outcome of such an experiment is called its sample space, usually denoted by $S$. For example, tossing a coin once gives $S = \{H, T\}$, while rolling a die yields $S = \{1, 2, 3, 4, 5, 6\}$. Understanding the …