Let N denote the number that turns up when a fair die is rolled. If the probability that the system of equations … … … has unique solution is …, then the sum of value of k and all possible values of N is :

Option C. For unique solution …

Probability

JEE Main 2023 · 24 Jan, Morning shift · Q4925

MathematicsMedium75×since 2002Q4925

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

MathematicsMedium75×since 2002Q4925

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 :