Let n be the number obtained... |JEE Main 2026 | Probability

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JEE MAIN 2026

22-01-2026 S2

Question

Let $n$ be the number obtained on rolling a fair die. If the probability that the system $$ \begin{aligned} & x-\mathrm{n} y+z=6 \\ & x+(\mathrm{n}-2) y+(\mathrm{n}+1) z=8 \\ & (\mathrm{n}-1) y+z=1 \end{aligned} $$ has a unique solution is $\frac{k}{6}$, then the sum of $k$ and all possible values of $n$ is :

Select the correct option:

A

21

B

20

C

22

D

24

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

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