Two fair dice are thrown. The numbers on them are taken as l and m, and a system of linear equations
$\begin{aligned} & x+y+z=5 \\ & x+2 y+3 z=\mu \\ & x+3 y+\lambda z=1\end{aligned}$
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 :
Select the correct option:
A
$p=\frac{1}{6}$ and $q=\frac{1}{36}$
B
$\mathrm{p}=\frac{5}{6}$ and $\mathrm{q}=\frac{5}{36}$
C
$\mathrm{p}=\frac{5}{6}$ and $\mathrm{q}=\frac{1}{36}$
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