Let N denote the number that turns up when a fair die is rolled. If the probability that the system of equations x + y + z = 1 2x + Ny + 2z = 2 3x + 3y + Nz = 3 has unique solution is k/6, then the sum of value of k and all possible values of N is:

Statistics and Probability: JEE Main 2023 Mathematics question

JEE Main 2023 · 24 Jan, Morning shift · Q4925

JEE Main 202324 Jan, Morning shiftMathematicsMediumStatistics and Probability258× since 2002

Let N denote the number that turns up when a fair die is rolled. If the probability that the system of equations

x + y + z = 1

2x + \mathrm{N}y + 2z = 2

3x + 3y + \mathrm{N}z = 3

has unique solution is

{k \over 6}

, then the sum of value of k and all possible values of N is :

JEE Main 2023 · 24 Jan, Morning shift · Q4925

JEE Main 202324 Jan, Morning shiftMathematicsMediumStatistics and Probability258× since 2002

Let N denote the number that turns up when a fair die is rolled. If the probability that the system of equations

x + y + z = 1

2x + \mathrm{N}y + 2z = 2

3x + 3y + \mathrm{N}z = 3

has unique solution is

{k \over 6}

, then the sum of value of k and all possible values of N is :