How is a two-way frequency table used to approximate conditional probabilities?

Question

A. by adding the two conditions and dividing by the total for the entire two-way frequency table
B. by writing the totals for the two conditions from the table as a fraction, decimal, or percentage
C. by writing the ratio of the intersection of the two conditions with the given condition in the denominator and the preference in the numerator
D. by finding the average of the two conditions

Answer 1

To approximate conditional probabilities using a two-way frequency table, you typically use the total for the given condition as the denominator and the frequency of the intersection (where both conditions are satisfied) as the numerator.

Thus, the correct answer is:

C. by writing the ratio of the intersection of the two conditions with the given condition in the denominator and the preference in the numerator.

This method allows you to calculate the conditional probability of one event occurring given that another event has occurred by using the relevant data from the two-way frequency table.