Find the probability

Learning Objectives Define key probability terms such as outcome, event, sample space, and favorable outcome. Calculate the theoretical probability of a simple event. Express probability as a fraction, decimal, or percentage. Determine the probability of an event based on data presented in tables or simple graphs. Compare and contrast theoretical and experimental probability. Identify events as impossible, unlikely, equally likely, likely, or certain. Have you ever wondered what your chances are of winning a game or picking the right answer on a multiple-choice test? 🤔 Probability helps us understand how likely something is to happen! In this lesson, you'll learn how to calculate the probability of different events. We'll explore how to use data from tables and g...

TermDefinitionExample OutcomeA single possible result of an experiment or situation.When flipping a coin, 'heads' is an outcome, and 'tails' is another outcome. EventOne or more outcomes of an experiment.When rolling a standard six-sided die, rolling an 'even number' is an event (outcomes: 2, 4, 6). Sample SpaceThe set of all possible outcomes for an experiment.For rolling a standard six-sided die, the sample space is {1, 2, 3, 4, 5, 6}. Favorable OutcomeAn outcome that meets a specific condition or is desired for a particular event.If the event is 'rolling a number greater than 4' on a die, the favorable outcomes are {5, 6}. Theoretical ProbabilityThe probability of an event based on reasoning and what *should* happen, assuming all outcomes are equ...

Theoretical Probability Formula $P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$ Use this formula to calculate the probability of an event when all outcomes are equally likely. The result will always be a value between 0 and 1 (inclusive). Probability Range $0 \le P(\text{event}) \le 1$ The probability of any event must be between 0 and 1. A probability of 0 means the event is impossible, and a probability of 1 means the event is certain to happen. Probabilities can be expressed as fractions, decimals, or percentages. Experimental Probability Formula $P(\text{event}) = \frac{\text{Number of times the event occurs}}{\text{Total number of trials}}$ Use this formula to calculate the probability of an event based on...