Probability of simple events

Learning Objectives Define key terms related to probability, such as outcome, event, and sample space. Identify all possible outcomes for a simple event. Calculate the probability of a simple event occurring. Express probabilities as fractions, decimals, and percentages. Classify events as impossible, unlikely, equally likely, likely, or certain. Apply the concept of probability to real-world scenarios involving simple events. Ever wonder what your chances are of picking your favorite color candy from a bag without looking? 🍬 Probability helps us figure out how likely something is to happen! In this lesson, you'll learn how to calculate the probability of simple events. Understanding probability helps you make predictions and understand the likelihood of outcomes in g...

TermDefinitionExample ProbabilityA measure of how likely an event is to occur. It is expressed as a number between 0 and 1, inclusive.The probability of flipping a coin and getting heads is 1/2. OutcomeA single possible result of an experiment or situation.When rolling a standard six-sided die, 'rolling a 3' is an outcome. EventOne or more outcomes of an experiment or situation.When rolling a standard six-sided die, 'rolling an even number' is an event that includes the outcomes 2, 4, and 6. Sample SpaceThe set of all possible outcomes for an experiment or situation.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 the outcome we are interested in.If the event is 'rolling...

Basic Probability Formula $P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$ This formula is used to calculate the probability of any simple event. You count how many ways the event can happen and divide by the total number of things that could happen. Range of Probability $0 \le P(\text{event}) \le 1$ The probability of any event must always be a number between 0 and 1, inclusive. A probability of 0 means the event is impossible, and a probability of 1 means the event is certain.