Probability and Two Way Frequency Tables

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What is Probability?

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Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1.

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What is a Two-Way Frequency Table?

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A Two-Way Frequency Table displays the frequency of different outcomes in two categorical variables, allowing for the analysis of the relationship between them.

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What does P(A ∩ B) represent?

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P(A ∩ B) represents the probability that both events A and B occur simultaneously.

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What does P(A ∪ B) represent?

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P(A ∪ B) represents the probability that either event A or event B occurs.

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What does P(A^C) represent?

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P(A^C) represents the probability that event A does not occur.

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How do you calculate P(A ∩ B)?

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P(A ∩ B) can be calculated by dividing the number of outcomes where both A and B occur by the total number of outcomes.

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How do you calculate P(A ∪ B)?

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P(A ∪ B) = P(A) + P(B) - P(A ∩ B).

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What is the Complement Rule in Probability?

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The Complement Rule states that P(A^C) = 1 - P(A), meaning the probability of an event not occurring is equal to one minus the probability of the event occurring.

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What is Conditional Probability?

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Conditional Probability, denoted as P(A | B), is the probability of event A occurring given that event B has occurred.

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How do you calculate Conditional Probability?

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P(A | B) = P(A ∩ B) / P(B), provided P(B) > 0.