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In probability, an event is a specific outcome or a set of outcomes from a random experiment. An **impossible event** is an event that cannot occur under any circumstances. For instance, throwing a standard six-sided die and getting a result of 7 is an impossible event.
These events are represented mathematically by assigning them a probability of 0. This numerical representation indicates there is absolutely no chance for the event to happen. Understanding this is crucial for distinguishing between feasible events and those that cannot possibly occur in a given experiment.

Probability uses **numerical values** as a way to express the chance of an event occurring. These values are always between 0 and 1. A probability of 0 indicates impossibility, while a probability of 1 signifies certainty. For example, the probability of picking a red ball from a box of only red balls is 1.
Every possible event in probability theory is assigned a number, often a fraction or a decimal, within this range. Why numerical representations? They provide a clear, concise way to convey likelihoods, making complex outcomes easier to analyze and communicate. It's essential to remember that different situations may use different scaling (e.g., percentage) but still represent the same concept.

Probability offers a **likelihood measure** that helps us quantify uncertainty. Think of probability as a tool that provides a scale for measuring how likely an event is to occur compared to others. This likelihood is significant in various real-world applications, from predicting weather patterns to calculating risks in business.
The likelihood measure in probability can also illustrate comparative odds. For instance, rolling a dice shows that getting a 3 has the same likelihood as getting any other number between 1 and 6. When interpreting probabilities, remember that they illustrate tendencies and expectations rather than certainties.

The **probability range** is a key concept that all probabilities must adhere to. Probabilities can only exist in the range from 0 to 1. This makes sure every probability is logically valid and universally interpretable. When situations require probabilities expressed as percentages, you would simply convert these numbers by multiplying by 100.
To understand more: any probability below 0.5 suggests that an event is unlikely, and anything above 0.5 means the event is more likely to happen than not. This range clarifies interpretations of everyday situations, helping us quantify and make predictions consistently and systematically.