1. In a second grade class containing 12 girls and 10 boys, 2 students are selected at random to give out the math papers. What is the probability that the second student chosen is a boy, given that the first one was a girl?,
2. A student and a professor each choose a number between 1 and 5 (1 and 5 are both possible choices). What is the probability that the two choose the same number?