A random experiment consists of picking two cards at random from a

standard deck of 52 playing cards in an equally likely fashion.

1. Compute the probability that both the cards in the selected pair are black.
2. Compute the probability that both the cards in the selected pair are red or both are face cards (that is, Jack, Queen, or King).
3. Compute the probability that the selected pair contains at least one black card and at least one face card.