Interactive Contingency Table & Simulation Tool

Build tables, calculate probabilities, and run simulations to understand statistical concepts.

A friendly Labrador Retriever service dog wearing a red vest, looking attentively.

1. Build Population Table

Show Expected Counts

Category	Routine Maintenance	Brake/Tire Issues
Domestic Car
Foreign Car
Column Total	0	0

2. Calculations

Select Event A

Select Event B

4. True Sampling Simulation

This simulates drawing a random sample **without replacement** from the total population. Notice how sample probabilities differ from true probabilities due to random chance. This selection also controls the Bootstrap simulation below.

Simulate:

Sample Size:

5. Bootstrapping Simulation

This simulation demonstrates bootstrapping. First, we draw one random sample. Then, we treat that sample as our only data and "resample" from it thousands of times (**with replacement**) to estimate the uncertainty and create a confidence interval for the true population probability.

Initial Sample Size:

Bootstrap Resamples: