The lone-chooser method is an adaptation of the divide-and-choose procedure for three people. For the purposes of illustration, we will use a pie. The first and second persons use the divide-and-choose procedure to divide the pie into two pieces. Now each person divides his or her share of the pie into three pieces. The third person chooses one slice from each half. The first two people each keep what is left of their half. a. Explain why each person believes that he or she has a fair portion of the pie at the end of this procedure. b. Propose a division scheme of this sort for four people.