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Geometry

Probability experiments of two or more independent events using dice or coins from a given probability are created.

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

- Create probability experiments of two or more independent events from a given probability.
- Calculate the probability of two or more independent events as the product of the probabilities.

We are calculating theoretical probability in this Activity Object.

Theoretical probability is calculated by dividing the number of outcomes for a specific event by the number of total events possible. For example, a penny lands on heads: the penny could land on either heads or tails so there are two possible outcomes and only one specific event we wish to happen: landing on heads.

In this Activity Object, students will use several events to calculate a specific outcome.

The dice and coins in this Activity represent independent events.

Events are independent when the outcome of one event does not influence the outcome of a second event. When the outcome of one event affects the outcome of a second event, the events are dependent. In this Activity Object, the result of one event such as landing on heads does not affect the result of another event such as rolling a six. Therefore, the events are independent.

During this Activity Object, students may choose compound events.

A compound event is an event that is derived from two other events. For example, if we roll two dice, then the event "getting a six on either the first or second die" is a compound event.

In this Activity Object, students can choose a compound event. For example, "flipping two coins and both landing on heads".

To calculate probability of multiple independent events, you must multiply the probabilities.

In this Activity Object, students are given a probability such as . They must choose at least two events equaling . Here is an example of the events that could equal to .

Notice how the probability of the two events is multiplied together to determine the probability of both events occurring.

Remember, for independent events, the probability that more than one event occurs is the product of the probabilities of the individual events.

Approximate Time | 15 Minutes |

Pre-requisite Concepts | Students should know the concepts of probability and independent events, and how to multiply fractions. |

Course | Geometry |

Type of Tutorial | Skills Application |

Key Vocabulary | Probability, independent events, |