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Geometry

The results of theoretical and experimental probability are analyzed by conducting an experiment and interpreting a graph of the data.

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After completing this tutorial, you will be able to complete the following:

- Analyze the results of theoretical and experimental probability by conducting an experiment and interpreting the graph of the data.
- Grasp the relationship between the similarity of experimental and theoretical probability and the number of trials.

This Activity Object explores the relationship between theoretical and experimental probability. Students should have a basic understanding of probability and be able to conduct simple probability experiments before this Activity Object is presented.

The following key vocabulary terms will be used throughout this Activity Object:

- probability - the likelihood an event will happen

- theoretical probability - the ratio of the number of ways the event can occur to the total number of possibilities in an experiment

Theoretical probability is determined using the following ratio:

- experimental probability - the probability of an event is the ratio of the number of times the event actually occurs to the total number of trials

The more trials performed in a probability experiment, the more similar the experimental and theoretical probabilities become.

For example: If we flip a coin 30 times, we would expect that the coin would land on heads 15 out of 30 times. However, when the experiment is conducted is it possible that the coins will land on heads more or less frequently since the process of flipping a coin is random.

Approximate Time | 20 Minutes |

Pre-requisite Concepts | Students should know the theoretical probability and how to interpret graphs. |

Course | Geometry |

Type of Tutorial | Concept Development |

Key Vocabulary | probability, experimental probability, theoretical probability |