Consider the system of equations ax + by = 0, cx + dy = 0, where a , b , c , d ∈ 0, 1 …
Mathematics · JEE Advanced · NTA Exams — Statistics and Probability
Consider the system of equations
ax + by = 0, cx + dy = 0, where a, b, c, d ∈ {0, 1}.
Statement-1 : The probability that the system of equations has a unique solution is 3/8 .
Statement-2 : The probability that the system of equations has a solution is 1 .
ax + by = 0, cx + dy = 0, where a, b, c, d ∈ {0, 1}.
Statement-1 : The probability that the system of equations has a unique solution is 3/8 .
Statement-2 : The probability that the system of equations has a solution is 1 .
- Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation of Statement-1 .
- Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement-1 .
- Statement-1 is true, Statement-2 is false.
- Statement-1 is false, Statement-2 is true.
Answer
(C) Statement-1 is true, Statement-2 is false.
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If E and F are events with P ( E ) ≤ P ( F ) and P ( E ∩ F ) > 0, then
- If E and F are the complementary events of E and F respectively and if 0 < P (F) < 1, then
- Four fair dice D 1 , D 2 , D 3 and D 4 each having six faces numbered 1, 2, 3, 4, 5 and 6, are rolled…
- A student appears for a quiz consisting of only true-false type questions and answers all the questions. The…
- Three identical dice are rolled. The probability that the same number will appear on each of them, is
- A JEE aspirant estimates that she will be successful with an 80 percent chance if she studies 10 hours per…
- A JEE aspirant estimates that she will be successful with an 80 percent chance if she studies 10 hours per…
- Mr. Dupont is a professional wine taster. When given a French wine, he will identify it with probability 0.9…
More Statistics and Probability questions · Browse all practice questions