In the Applet below, we have represented repeated independent Bernoulli trials by a single ball falling through an array of pins. Each time a ball falls onto a pin, it will bounce to the left (i.e., a success) with probability p or to the right (i.e., a failure) with probability 1-p. After the ball falls through the array, it lands in a bin labeled by the corresponding number of trials.

Click on a bin to see its corresponding total and probability. Alternatively, use the left and right arrow buttons to scroll through the bins. Also displayed is a confidence interval centered on the theoretical expected bin. Bins that are included in this confidence interval are highlighted in green.