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Two fair dice are thrown. The numbers on...

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

A

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

B

`p=5/6` and `q=5/36`

C

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

D

`p=1/6` and `q=1/36`

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