Whenever suzan sees a bag of marbles, she grabs a handful at random. she has seen a bag containing four red marbles, four green ones, two white ones, and two 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 red ones and one of each of the other colors.

In this question, Suzan is taking 5 marble from a bag containing four red marbles, four green ones, two white ones, and two purple ones. The total marble in the bag should be: 4+4+2+2= 12. The question is how much the probability to get two red, 1 green, 1 white and 1 purple. Then the probability would be: 

4*3*4*2*2/ 12*11*10*9*8= 192/ 950400= 1/495