A student regularly bought coffee at the Tim Hortons dc SITE. Every day he bought two or three cups of coffee, two cups being his choice. Tim Horton says that in its Roll the Rim to Win contest, the winning cups are distributed entirely at random with a frequency of one in six. Find (i) the conversation that on a given day the student exactly wins twice, and (ii) that on two days he does not receive a winning cup. Suppose the choice to buy two or three cups are made independently each day.