Two fair dice are thrown numbers|Probability|JEE-MAIN-2021

JEE MAIN 2021

26-08-2021 S2

Question

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:

$p=\frac{1}{6}$ and $q=\frac{1}{36}$

$\mathrm{p}=\frac{5}{6}$ and $\mathrm{q}=\frac{5}{36}$

$\mathrm{p}=\frac{5}{6}$ and $\mathrm{q}=\frac{1}{36}$

$p=\frac{1}{6}$ and $q=\frac{5}{36}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution