So i have the following PMF for (Z, Y):
| Y = 1 | Y = 3 | Y = 7 | |
|---|---|---|---|
| Z = 0 | 0.20 | 0.07 | 0.10 |
| Z = 1 | 0.09 | 0.05 | 0.11 |
| Z = 2 | 0.07 | 0.08 | 0.23 |
And i have to show that P(Y = y | Z = 1) = P(Y = y) for y = 1, 3, 7.
I remember having looked at it before, but now when i look back at it i'm completely lost and out of ideas, i can't remember how i solved or what i need to do to solve it now. I hope somebody can help me out and thanks in advance.