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

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


   



Question 1115170: whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing four red marbles, two green ones, three white ones, and one purple one. She grabs eight of them. Find the probability of the following event, expressing it as a fraction in lowest terms.
She does not have all the green ones.

Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
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In all, there are 4 + 2 + 3 + 1 = 10 marbles.


In how many ways can you select 8 marbles of 10 ?  - In  C%5B10%5D%5E8 = %2810%2A9%29%2F%281%2A2%29 = 45 ways.


How many of these combinations do not include the two green marbles ?  - Only one combination.



Therefore, the probability under the question is  1%2F45.