MCQMediumJEE Main 2025 · 22 January, Shift 2Conditional Probability & Bayes Theorem

Mathematics Question from JEE Main 2025 · 22 January, Shift 2

If AA and BB are two events such that P(AB)=0.1P(A \cap B) = 0.1, and P(AB)P(A\mid B) and P(BA)P(B\mid A) are the roots of the equation 12x27x+1=012x^2 - 7x + 1 = 0, then the value of P(AˉBˉ)P(AˉBˉ)\frac{P(\bar{A} \cup \bar{B})}{P(\bar{A} \cap \bar{B})} is:

  • A

    43\frac{4}{3}

  • B

    74\frac{7}{4}

  • C

    53\frac{5}{3}

  • D

    94\frac{9}{4}

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Practice more Conditional Probability & Bayes Theorem questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Related questions