Final answer:
Contingency tables are helpful mathematical tools for organizing data to calculate probabilities with multiple dependent variables, useful for educational purposes and testing new functions.
Step-by-step explanation:
The subject matter of the question involves a contingency table, which is a specific type of data table in mathematics and statistics. Although a contingency table is rarely used in the industry, it is a valuable tool for organizing and sorting data when calculating probabilities, especially with functions that involve multiple dependent variables. Contingency tables, or two-way tables, display data in relation to two different variables that may be dependent on one another, aiding in the calculation of conditional and marginal distributions, relative frequency, and experimental probability.
For instance, in an ANOVA test, which is used to analyze the differences among group means, the results are often presented in a table format for clarity. Similarly, by using contingency tables, we can turn complex division problems into simpler multiplication problems by organizing data to facilitate understanding and computation.