Angular Momentum Problem

[Chinnu]

Heres the problem:

Part I) Two particles, each with orbital angular momentum quantum numbers l=1,
m sub l = 0. What are the possible values of the total angular momentum? What is the probability that a measurement will find each of these values?

Part II) Consider the case where the two particles are spin 1/2 fermions. Neglect their interaction and assume that they both have the same radial wave function. What are the total spin and the total angular momentum of the system?


For part I, I think the possible values for the total orbital angular momentum are |l1+l2| down to 0. Meaning, 2, 1, and 0.
Im not sure how to get the probabilities though. I think I have to use Clebsch-Gordon coefficients, but I am not entirely sure how to do that I guess.
1. The problem statement, all variables and given/known data



2. Relevant equations



3. The attempt at a solution