Compound Probability (Tree Diagrams and FCP)

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What is Compound Probability?

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Compound Probability refers to the probability of two or more events happening at the same time. It can be calculated using tree diagrams or the Fundamental Counting Principle.

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What is a Tree Diagram?

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A Tree Diagram is a visual representation that shows all possible outcomes of an event, branching out from a starting point to illustrate different paths.

Tags

CCSS.7.SP.C.8B

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How do you calculate total outcomes using a Tree Diagram?

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To calculate total outcomes using a Tree Diagram, multiply the number of outcomes for each event. For example, rolling a die (6 outcomes) and flipping a coin (2 outcomes) gives 6 x 2 = 12 total outcomes.

Tags

CCSS.7.SP.C.8B

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What is the Fundamental Counting Principle (FCP)?

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The Fundamental Counting Principle states that if one event can occur in 'm' ways and a second event can occur independently in 'n' ways, then the two events can occur in m x n ways.

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If you roll a die and flip a coin, how many possible outcomes are there?

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12 outcomes (6 outcomes from the die and 2 outcomes from the coin: 6 x 2 = 12).

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What is Experimental Probability?

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Experimental Probability is the probability based on the actual results of an experiment, calculated as the number of successful outcomes divided by the total number of trials.

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What is the difference between Theoretical Probability and Experimental Probability?

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Theoretical Probability is based on expected outcomes, while Experimental Probability is based on actual outcomes observed in experiments.

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How many total outfit options can be created with 3 shirts and 4 pants?

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12 outfit options (3 shirts x 4 pants = 12).

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What does it mean to find the total outcomes in a sample?

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Finding the total outcomes in a sample means determining all the possible results that can occur from a given set of events.

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What is a sample space?

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A sample space is the set of all possible outcomes of a probability experiment.