In Problem 1, students are given a single die. Each student rolls the die five times and records the result where a 6 is a success. They are to repeat this experiment nine more times. They track their results in a table provided on their worksheets.

In a second table, they record the number and percentage of successes in each of the 10 experiments. The number of successes should sum to 10 and the percent of successes (in decimal form) should sum up to 1, this will represent the experimental binomial probabilities.

Students begin Problem 3 by listing all arrangements of two successes and three failures. They multiply the probabilities of successes and failures. Students will find that although the factors are in a different order, the probability of each arrangement is the same.

At the end of this activity, students will be able to use binomial probability distribution function to verify the probabilities calculated for n Bernoulli trials. They will also be able to use the formula, P(r) = _nC_r · p^r · q^{n – r} to find the binomial probability of r successes in n trials.