Two groups of children decide to make a draw so that a three-member committee is selected. The first group consists of 7 boys and 3 girls, while the second group has 1 boy and 5 girls. The selection takes place as follows: first, one person is chosen randomly from each group. In order to select the third person, the names of all the remaining children (from both groups) are put in a ballot and one name is picked at random. Find the probability that the person selected in this second draw is a girl.