Probability of one event

Learning Objectives Define key probability terms such as outcome, event, and sample space. Identify all possible outcomes and favorable outcomes for a single event. Calculate the theoretical probability of a single event. Express probability as a fraction, decimal, and percentage. Interpret the likelihood of an event using terms like impossible, unlikely, equally likely, likely, and certain. Apply probability concepts to solve simple real-world problems involving one event. Have you ever wondered what your chances are of winning a game or if it will rain tomorrow? 🎲 Probability helps us understand how likely something is to happen! In this lesson, you will learn how to calculate the likelihood of a single event occurring. This skill is super useful for making informed deci...

TermDefinitionExample ProbabilityA measure of how likely an event is to occur. It's a number between 0 and 1 (or 0% and 100%).The probability of flipping a coin and getting heads is 1/2, or 50%. OutcomeA single possible result of an experiment or situation.When you roll a standard six-sided die, 'rolling a 3' is an outcome. 'Rolling a 1' is another outcome. EventOne or more outcomes of an experiment. It's what you are interested in happening.When rolling a die, 'rolling an even number' is an event. The outcomes for this event are 2, 4, and 6. Favorable OutcomeAn outcome that meets the specific condition of the event you are interested in.If the event is 'rolling an even number' on a die, then 2, 4, and 6 are the favorable outcomes. Sample...

Probability Formula for a Single Event $P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$ This formula is used to calculate the theoretical probability of a specific event happening. You count how many ways your desired event can occur and divide it by the total number of unique results that could happen. Range of Probability $0 \le P(\text{event}) \le 1$ The probability of any event must always be between 0 and 1, inclusive. A probability of 0 means the event is impossible, and a probability of 1 means the event is certain to happen. Probabilities can also be expressed as percentages from 0% to 100%.