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.

Question

Mathematics

Genesis Watson

30 June, 04:31

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.

+3

Answers (1)

Know the Answer?

Park · Answer 1

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