SOLUTION: whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, three green ones, four white ones, and one purple one. She gra

Algebra ->  Probability-and-statistics -> SOLUTION: whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, three green ones, four white ones, and one purple one. She gra      Log On


   



Question 1115108: whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, three green ones, four white ones, and one purple one. 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.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


She has to choose...
(1) 2 of the 3 green;
(2) 1 of the 3 red;
(3) 1 of the 4 white; and
(4) 1 of the 1 purple

In all, she is choosing 5 of the total of 11.

The probability is

%28C%283%2C2%29%2AC%283%2C1%29%2AC%284%2C1%29%2AC%281%2C1%29%29%2FC%2811%2C4%29

= %283%2A3%2A4%2A1%29%2F%28330%29=36%2F330+=+6%2F55