Conditional Probability: Two Way Tables

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What is Conditional Probability?

Back

The probability of an event occurring given that another event has already occurred.

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What is a Two-Way Table?

Back

A table that displays the frequency distribution of two categorical variables.

Front

How do you calculate Conditional Probability?

Back

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

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What does it mean if two events are independent?

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The occurrence of one event does not affect the probability of the other event.

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What is the formula for finding the total probability in a two-way table?

Back

Total Probability = Sum of all frequencies in the table.

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What is the marginal probability?

Back

The probability of a single event occurring without consideration of other events.

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How do you find the joint probability from a two-way table?

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Joint Probability = Frequency of the joint occurrence / Total frequency.

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What is the difference between relative frequency and probability?

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Relative frequency is the ratio of the number of times an event occurs to the total number of trials, while probability is a theoretical measure of likelihood.

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What does it mean if P(A|B) = P(A)?

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It indicates that events A and B are independent.

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How can you interpret the results of a two-way table?

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By analyzing the frequencies and calculating probabilities to understand relationships between the two variables.