1. Tardigrade
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  3. Mathematics
  4. Consider the system of equations px + qy =0, rx + sy =0 where p , q , r , s ∈ -1,1 Statement-1 :- The probability that the system of equations has a unique solution is (1/2). Statement-2 :- The probability that the system of equations has no solution is zero.

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Q. Consider the system of equations $px + qy =0, rx + sy =0$ where $p , q , r , s \in\{-1,1\}$
Statement-1 :- The probability that the system of equations has a unique solution is $\frac{1}{2}$.
Statement-2 :- The probability that the system of equations has no solution is zero.

Probability - Part 2

Solution:

Correct answer is (b) Statement- 1 is true, statement- 2 is true and statement- 2 is NOT the correct explanation for statement- 1 .