A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 5 digits long, and that each digit could be a number between 0 and 5. Assume that the hacker makes random guesses. What is the probability that the hacker guesses the password on her first try? Round to six decimal places.

At bedtime, you read three books to your kids, Walker, Michael, and Luke. Together, they have 32 books. If you decide to randomly choose three books, what is the probability that the three you choose will consist of each of their favorite books? Assume they have different favorites. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

Set up the problem as if it were to be solved, but do not solve. Assume that this selection is done without replacement. Determine the probability of being dealt 2 nines from a standard deck of 52 cards when 2 cards are dealt. P(2 nines) =