Hi, I have a particular problem and if anyone could help me with it, I'd greatly appreciate it! It is as follows:

Two tickets are selected at random from a drum which contains five tickets numbered 1, 1, 2, 2 and 3. Let X denote the sum and Y the maximum of the two numbers drawn. Find the distribution, mean and variance of
(i) X
(ii) Y.
(iii) Determine the joint distribution of X and Y.
(iv) Find the cov (X,Y)
(v) Find ρ(X,Y) [ where ρ is rho ]

I've thought long and hard about this and just can't do it, please help!

Thanks, Andy