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Probability question

2023 · 24 Jan · Shift 1 · Q25

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PYQ Library
JEE Main
Mathematics
Probability
2023 · 24 Jan · Shift 1 · Q25

Probability question

2023 · 24 Jan · Shift 1 · Q25

JEE MainMathematicsProbabilityMCQ+4 / −1

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 = 12x + \mathrm{N}y + 2z = 23x + 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 :

A
18
B
21
C
20
D
19

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