Use the following spinners to construct a probability model...

Use the following spinners to construct a probability model for experiment.
(Check your book for spinners figure)

Spin spinner III, then spinner I twice. What is the probability of getting Forward, followed by a 1 or a 3 , followed by a 2 or a $4 ?$

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Key Concepts

Independent Events

Independent events are those whose outcomes do not affect each other. In compound experiments where events occur in sequence, such as multiple spinner spins, the overall probability is the product of the probabilities of each separate event when they are independent.

Probability Model

A probability model is a mathematical representation of an experiment that consists of a sample space along with a set of probability rules. It helps in understanding the likelihood of various outcomes, particularly when the experiment involves multiple stages or components.

Sample Space

The sample space is the set of all possible outcomes of an experiment. When designing a probability model, it's crucial to consider all outcomes that can result from each independent part of the experiment and, in compound experiments, the combined outcomes from each stage.

Compound Events

Compound events involve the occurrence of two or more simple events. The probability of a compound event is calculated by combining the probabilities of the individual events, considering if the events are independent or dependent. In many scenarios, including sequential spinner spins, the events are independent, so probabilities are multiplied to obtain the overall likelihood.

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