If A and B are two events such that P(A B)=0.1, and P(A B) and P(B A) are the roots of the equation 12x²-7x+1=0, then the value of (P(A B))/(P(A B)) is:

Statistics and Probability: JEE Main 2025 Mathematics question

JEE Main 2025 · January, Unspecified (session-level dataset) · Q30

JEE Main 2025January, Unspecified (session-level dataset)MathematicsMediumStatistics and Probability258× since 2002

A

and

B

are two events such that

P(A \cap B)=0.1

, and

P(A \mid B)

and

P(B \mid A)

are the roots of the equation

12x^2-7x+1=0

, then the value of

\frac{P(\overline{A} \cup \overline{B})}{P(\overline{A} \cap \overline{B})}

is: