Okay, here we have this:
Considering the provided information, we are going to calculate the requested probability, so we obtain the following:
Probability of getting 1 green and 1 black = Probability of getting a green * Probability of getting a black
Probability of getting 1 green and 1 black = 12/45 * 17/44
Probability of getting 1 green and 1 black = 4/15 * 17/44
Probability of getting 1 green and 1 black = 17/165
Probability of getting 1 green and 1 black ≈ 0.10
Probability of getting 1 green and 1 black ≈ 10%