Bess and Carolina and their 14 classmates write their names on cards. The teacher, Miss Scott, picks two cards without replacing the first card. What is the probability that Bess is chosen first and Carolina is chosen second?

A120-inch strip of metal 12 inches wide is to be made into a small open trough by bending up two sides on the long side, at right angles to the base. the sides will be the same height, x. if the trough is to have a maximum volume, how many inches should be turned up on each side?