Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, five green ones, four white ones, and two purple ones. She grabs eight of them....

Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, five 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 has all the red ones.