Use the applets entitled Simulating the Probability of Rolling a 6 and Simulating the Probability of Rolling a 3 or 4 to explore the additive rule of probability.
a. Explain why the applet Simulating the Probability of Rolling a 6 can also be used to simulate the probability of rolling a 3. Then use the applet with n = 1000 to simulate the probability of rolling a 3. Record the cumulative proportion. Repeat the process to simulate the probability of rolling a 4.
b. Use the applet Simulating the Probability of Rolling a 3 or 4 with n = 1000 to simulate the probability of rolling a 3 or 4. Record the cumulative proportion.
c. Add the two cumulative proportions from part a. How does this sum compare with the cumulative proportion in part b? How does your answer illustrate the additive rule for probability?