Randomness refers to the lack of pattern or predictability in events. In mathematics and statistics, it is often associated with the concept of probability, where outcomes can be uncertain and vary widely. For example, when rolling a die, each face has an equal chance of landing face up, illustrating true randomness. In everyday life, randomness can be observed in various situations, such as the shuffle of a deck of cards or the selection of a lottery number. Understanding randomness is crucial in fields like cryptography and data science, where it helps in making informed decisions based on uncertain information.