and P172 = 0.15. S A B C 1 2 3 4 5 6 7

a. Which pairs of events, if any, are mutually exclusive? Why?

b. Which pairs of events, if any, are independent? Why?

c. Find P1A ∪ B2 by adding the probabilities of the sample points and then using the additive rule. Verify that the answers agree. Repeat for P1A ∪ C2 Applet Exercise 3.5 Use the applet Simulating the Probability of Rolling a 6 to simulate conditional probabilities. Begin by running the applet twice with n = 10 without resetting between runs. The data on your screen represent 20 rolls of a die. The diagram above the Roll button shows the frequency of each of the six possible outcomes. Use this information to find each of the probabilities.

a. The probability of 6 given the outcome is 5 or 6

b. The probability of 6 given the outcome is even

c. The probability of 4 or 6 given the outcome is even

d. The probability of 4 or 6 given the outcome is odd Applying the Concepts—Basic