Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:
Matrix of order \(3\times 3\) are formed by using the elements of the set \(A=\{-3,-2,-1,0,1,2,3\}\), then probability that matrix is either symmetric or skew symmetric is
Options:
\(\frac{1}{7^{6}}+\frac{1}{7^{3}}\)
\(\frac{1}{7^{9}}+\frac{1}{7^{3}}-\frac{1}{7^{6}}\)
\(\frac{1}{7^{3}}+\frac{1}{7^{9}}\)
\(\frac{1}{7^{3}}+\frac{1}{7^{6}}-\frac{1}{7^{9}}\)
Correct Answer:
\(\frac{1}{7^{6}}+\frac{1}{7^{3}}\)
Explanation:
Favourable cases \(=7^{9}\)