Probability with Two-Way Tables

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What is probability?

Back

Probability is a measure of how likely an event is to occur, expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.

Tags

CCSS.7.SP.C.5

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What is a two-way table?

Back

A two-way table is a statistical table that displays the frequency distribution of two categorical variables, allowing for the analysis of the relationship between them.

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CCSS.8.SP.A.4

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How do you calculate the probability of an event?

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The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

Tags

CCSS.7.SP.C.7A

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What does it mean to find conditional probability?

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Conditional probability is the probability of an event occurring given that another event has already occurred.

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CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

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What is the formula for conditional probability?

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P(A|B) = P(A and B) / P(B), where P(A|B) is the probability of A given B.

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CCSS.HSS.CP.A.3

CCSS.HSS.CP.A.5

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What is the difference between independent and dependent events?

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Independent events do not affect each other's outcomes, while dependent events do.

Tags

CCSS.HSS.CP.A.5

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How can you represent data using a two-way table?

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Data can be represented in a two-way table by organizing counts of occurrences for two categorical variables in rows and columns.

Tags

CCSS.8.SP.A.4

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What is the total probability rule?

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The total probability rule states that the total probability of an event can be found by summing the probabilities of all mutually exclusive outcomes.

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How do you interpret the results from a two-way table?

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Results from a two-way table can be interpreted by analyzing the frequencies and calculating probabilities to understand relationships between the variables.

Tags

CCSS.8.SP.A.4

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What is the probability of selecting a specific group from a two-way table?

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To find the probability of selecting a specific group, divide the count of that group by the total count in the table.

Tags

CCSS.8.SP.A.4