At a slumber party, the following names are put into one hat: Anna, Beth, Carla, and Diana. A second hat contains the names Evelyn, Francine, Gillian, Hallie, and Ida. If one winner will be selected from each hat, what is the probability that Beth and Gillian will both win?
f. 1/9
g. 1/2
h. 1/16
j. 1/20
k. 1/24