Two fair dice are thrown. The numbers on them are taken as λ and μ , and a system of linear equations x+y+z=5, x+2 y+3 z=\\mu and x+3 y+\\lambdaz=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 [26 Aug 2021 Shift 2]

Correct Answer is : p=56 and q=536

p=\frac{1}{6} and q=\frac{1}{36}

p=\frac{5}{6} and q=\frac{5}{36}

p=\frac{5}{6} and q=\frac{1}{36}

p=\frac{1}{6} and q=\frac{5}{36}

JEE Main 26-Aug-2021 Shift 2 Solved Paper

Section: Mathematics

Question : 71 of 90

Marks: +1, -0

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

[26 Aug 2021 Shift 2]

p=
1
6
and q=
1
36
p=
5
6
and q=
5
36
p=
5
6
and q=
1
36
p=
1
6
and q=
5
36

Validate

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