Probability 1 Question 10
18. Consider the system of equations
Statement I The probability that the system of equations has a unique solution, is
Statement II The probability that the system of equations has a solution, is 1 .
Passage Based Problems
Passage
Box I contains three cards bearing numbers
(2014 Adv.)
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Answer:
Correct Answer: 18. (b)
Solution:
- The number of all possible determinants of the form
Out of which only 10 determinants given by
Vanish and remaining six determinants have non-zero values. Hence, the required probability
Statement I is true.
Statement II is also true as the homogeneous equations have always a solution and Statement II is not the correct explanation of Statement I.
