The College Republicans at a large university want to hold a discussion between an everyday Trump voter who has been disillusioned and one who has maintained warm feelings about Trump. The College Republicans get access to the group of Trump voters described in Problem 1 to invite two voters to take part in the event. The group has the contact information for each voter, but they do not know which of the four categories from Table 6.8 that the voters fall into. The list of voters is sorted randomly, and the College Republicans invite the first two voters on the list to participate in the event.

a. Use the information from Problem 1 to calculate the probability that the first two people who are invited to participate will include one “disillusioned”

and one “enthusiastic” Trump voter. Explain what the probability means in words.

b. What rule of probability needs to be used to calculate the probability for Part a?

c. Show how the Complement Rule can be used to calculate the probability that the first two invitations will include a voter who falls into the “convert”
or “skeptic” category.