1. Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, two green ones, five white ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a FRACTION IN LOWEST TERMS.

She has at least one green one.

2. Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, two green ones, four white ones, and three purple ones. She grabs five of them. Find the probability of the following event, expressing it as a FRACTION IN LOWEST TERMS.

She has two green ones and one of each of the other colors.

3. Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, three green ones, four white ones, and two purple ones. She grabs eight of them. Find the probability of the following event, expressing it as a FRACTION IN LOWEST TERMS.

She does not have all the red ones.