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

Mario Horn

14 April, 11:11

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.

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Kamila · 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