Definition of a Random Experiment:
An experiment is known to be random if the results of the experiment cannot be predicted. It is a process in which the outcomes are uncertain and cannot be determined in advance.

Characteristics of a Random Experiment:
- Unpredictability: The key characteristic of a random experiment is that the outcomes cannot be predicted with certainty. This unpredictability adds an element of chance to the experiment.
- Uncertainty: Random experiments involve uncertainty in the outcomes, making it impossible to know the exact result before conducting the experiment.
- Independence: The outcomes of a random experiment are independent of each other, meaning the result of one trial does not affect the result of another trial.
- Equal Probability: In a random experiment, each outcome has an equal probability of occurring. This ensures fairness and eliminates bias in the experiment.

Examples of Random Experiments:
1. Tossing a fair coin: The outcome of a coin toss is random as it can result in either heads or tails with equal probability.
2. Rolling a fair dice: The outcome of rolling a dice is random as it can result in any number from 1 to 6 with equal probability.
3. Drawing a card from a shuffled deck: The outcome of drawing a card from a shuffled deck is random as each card has an equal chance of being selected.

Conclusion:
In conclusion, a random experiment is characterized by unpredictability, uncertainty, independence of outcomes, and equal probability of each outcome. These key features make random experiments essential in various fields such as statistics, probability theory, and scientific research.