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Probability question

2021 · 26 Aug · Shift 2 · Q31
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  5. /2021 · 26 Aug · Shift 2 · Q31

Probability question

2021 · 26 Aug · Shift 2 · Q31

JEE MainMathematicsProbabilityMCQ+4 / −1
Two fair dice are thrown. The numbers on them are taken as λ\lambdaλ and μ\muμ, and a system of linear equations x + y + z = 5 x + 2y + 3z = μ\muμ x + 3y +λ\lambdaλ z = 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 :
  1. A
    p=16p = {1 \over 6}p=61​ and q=136q = {1 \over 36}q=361​
  2. B
    p=56p = {5 \over 6}p=65​ and q=536q = {5 \over 36}q=365​
  3. C
    p=56p = {5 \over 6}p=65​ and q=136q = {1 \over 36}q=361​
  4. D
    p=16p = {1 \over 6}p=61​ and q=536q = {5 \over 36}q=365​
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