Probability drawing marbles out of a bag without replacement?

Allen

New member
I draw three marbles from a bag containing 6 red marbles, 10 blue marbles and 14 green marbles, all indistinguishable except for their colour. The marbles are drawn WITH replacement, and the bag is properly shaken after each marble is returned. Let X be the number of green marbles I obtain. Does X have a Binomial distribution?
a. No, because there are three, not two, categories of results.
b. Yes
c. No, because the selections of marbles are not independent
d. No, because the prob of a green marble changes from draw to draw
e. No, because the number of trials is not fixed

I have eliminated a and c. I am thinking the answer is b. can somebody help me out. Thanks
 
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