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

Question

Sawyer

Mathematics

14 September, 13:25

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

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Gerardo Mcgee · Answer 1

In this question, Suzan is taking 5 marble from a bag containing 4 red marbles, 3 green ones, 4 white ones, and 3 purple ones. The total marble in the bag should be: 4+3+4+3 = 14. The question is how much the probability to get 1 red, 2 green, 1 white and 1 purple.

Ways to take 5 marble out of 14=14C5 = 14!/5!9! = 2002

Ways to take 1 red marble out of 4 = 4C1 = 4

Ways to take 2 green marble out of 3 = 3C2 = 3

Ways to take 1 white marble out of 4 = 4C1 = 4

Ways to take 1 purple marble out of 3 = 3C1 = 3

Then the probability would be: 4*3*4*3 / 2002 = 144/2002 = 72/1001