JEE Math Practice Question

Two fair dice are thrown. The numbers on them are taken as $$\lambda$$ and $$\mu$$, and a system of linear equations x + y + z = 5 x + 2y + 3z = $$\mu$$ x + 3y + $$\lambda$$z = 1 is constructed. If p is the probability that the system has a unique solution and q is the probability that the system has no solution, then :

1. A.$$p = {1 \over 6}$$ and $$q = {1 \over 36}$$
2. B.$$p = {5 \over 6}$$ and $$q = {5 \over 36}$$
3. C.$$p = {5 \over 6}$$ and $$q = {1 \over 36}$$
4. D.$$p = {1 \over 6}$$ and $$q = {5 \over 36}$$