Mathematics · Matrices and Determinants
Two fair dice are thrown. The numbers appearing on them are taken as λ and μ respectively, to construct a system of linear equations: x + y + z = 5 x + 2y + 3z = μ x + 3y + λz = 1 If p is the probability that the system has a unique solution and q is the probability that the system has no solution, then:
- 1p = 56 and q = 536✓
- 2p = 16 and q = 136
- 3p = 56 and q = 136
- 4p = 16 and q = 536
Correct answer
p = 56 and q = 536
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