Conditional Probability: Two Way Tables

Front

What is Conditional Probability?

Back

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

Front

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 using a Two-Way Table?

Back

P(A|B) = P(A and B) / P(B), where A and B are events.

Front

What does P(A|B) represent?

Back

The probability of event A occurring given that event B has occurred.

Front

What is the formula for finding the relative frequency?

Back

Relative Frequency = (Frequency of the event) / (Total frequency of all events).

Front

If 30 out of 100 students play a sport, what is the probability that a randomly selected student plays a sport?

Back

P(plays sport) = 30/100 = 0.3.

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What is the significance of the total row and column in a Two-Way Table?

Back

They provide the total counts for each category, which are essential for calculating probabilities.

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How do you interpret the values in a Two-Way Table?

Back

Each cell represents the frequency of occurrences for the corresponding categories.

Front

What is the probability that a student is a full-time student given they are male?

Back

Use the formula P(Full-time | Male) = (Number of Full-time Males) / (Total Number of Males).

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What does it mean if P(A|B) = 0.5?

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There is a 50% chance of event A occurring given that event B has occurred.