I worked on this question and I think it is dependent. can any one tell me if I'm right?

From a group consisting of 2 Douglas-fir, 3 hemlock and 1 balsam seedlings, 3 are to be randomly selected. Let X denote the number of hemlocks, and Y the number of D.F.s.
Are X and Y independent?

My answer:
No. When one seedling is pulled, say a D.F., it increases the probability that a hemlock will be chosen next)
To be independent the following must be true P(X)=P(XlY)
Event X is pulling a Hemlock
Event Y is pulling a DF

P(X)=3/6
P(Y)=2/6

P(XlY) = P(X∩Y)/P(Y)
= 0/(2/6)

Question

I worked on this question and I think it is dependent. can any one tell me if I'm right?

From a group consisting of 2 Douglas-fir, 3 hemlock and 1 balsam seedlings, 3 are to be randomly selected. Let X denote the number of hemlocks, and Y the number of D.F.s.
Are X and Y independent?

My answer:
No. When one seedling is pulled, say a D.F., it increases the probability that a hemlock will be chosen next)
To be independent the following must be true P(X)=P(XlY) 
Event X  is pulling a Hemlock
Event Y is pulling a DF

P(X)=3/6
P(Y)=2/6

P(XlY) = P(X∩Y)/P(Y)
  =  0/(2/6)

anonymous · Answer

You are correct they are dependent :]

anonymous · Answer

Phew!
but is my math right?

anonymous · Answer

yes your correct at least thats what it looks like to me