Mathematics · 2021
JEE Main · 26 August 2021, Shift 2 · Q63
Two fair dice are thrown. The numbers on them are taken as λ and μ, and a system of linear equations x+y+z=5; x+2 y+3 z=μ; x+3 y+λ z=1 is…
Two fair dice are thrown. The numbers on them are taken as $\displaystyle \lambda$ and $\displaystyle \mu$, 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 :
Official answer
(4)
$\displaystyle p=\frac{5}{6} \text { and } q=\frac{5}{36}$
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.