Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, three green ones, fo
ur 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.
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 <span>1 red, 2 green, 1 white and 1 purple.
Ways to take 5 marble out of 14=14C5= 14!/5!9!= </span>2002<span>
</span>Ways to take 1 red marble out of 4= 4C1= 4<span>
</span>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
