Two fair dice are thrown. The numbers on them are taken as … and …, and a system of linear equations x + y + z = 5 x + 2y + 3z = … x + 3y + …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 :

Option B. …D \ne 0 \Rightarrow \left| {\matrix{ 1 & 1 & 1 \cr 1 & 2 & 3 \cr 1 & 3 & \lambda \cr

Probability

JEE Main 2021 · 26 Aug, Evening shift · Q4917

MathematicsMedium75×since 2002Q4917

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 :