P - Probability Module Overview
Probability Module Overview
Introduction
In this unit, students will learn to determine likelihood of an event, calculate theoretical and experimental probabilities and compare the experimental to the experimental calculations. Students will learn to work with ratios to represent the theoretical probabilities and find and create representations for sample spaces for both simple and compound events. Using data to make predictions and experiments to check those predictions will be part of this unit. Students will also learn to set up and use simulations to generate frequencies and predict outcomes in events.
Essential Questions
- How can you describe the likelihood of an event?
- How can you find the experimental probability of an event?
- How can you find the theoretical probability of an event?
- How do you set up a simulation?
- How can simulations be used for estimating probabilities?
- How can you make decisions based on predictions?
- How can you create a probability model?
- How do you find the probability of compound events represented by tables, tree diagrams, and simulation?
Key Terms
The following key terms will help you understand the content in this module.
Combination - A combination is a grouping of events in which order is not important.
Complement - The complement is the set of all outcomes that are not in the event.
Compound event - A compound event consists of two or more events.
Dependent Event - A dependent event is an event in which the outcome of one event is affected by the other.
Event - An event is the outcome of an experiment or situation.
Experiment - An experiment is an activity involving chance.
Fundamental Counting Principle - The Fundamental Counting Principle is a method used to find the number of possible outcomes by multiplying the number of possible outcomes of each separate event.
Independent Event - An independent event is an event in which the outcome of one event has no affect on the other.
Outcome - The outcome of an event is each result of an experiment.
Permutation - A permutation is an arrangement of objects or events in which order matters.
Probability - Probability is a ratio of the number of times an event occurs to the total number of times the activity is performed. It is a number from 0 to 1 that describes how likely an event is to occur.
Prediction - A prediction is a decision or a guess about something you can expect to happen.
Relative frequency - The relative frequency is the frequency of data divided by total number of data.
Sample space - The sample space is all possible outcomes of an experiment.
Simulation - A simulation is a model of an experiment that might be too difficult or time-consuming to perform.
Theoretical probability - Theoretical Probability is the ratio of the number of ways an event can occur to the total number of equally likely outcomes
Trial - A trial is each repetition or observation of an experiment.
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