Let A and B be two events such that P(B A)=2/5, P(A B)=1/7 and P(A B)=1/9 · Consider (S1) P(A^() B)=5/6, (S2) P(A^() B^())=1/18 Then:

(A) Both (S1) and (S2) are true

(B) Both (S1) and (S2) are false

Statistics and Probability: JEE Main 2022 Mathematics question

JEE Main 2022 · 28 Jul, Evening shift · Q4965

JEE Main 202228 Jul, Evening shiftMathematicsMediumStatistics and Probability258× since 2002

Let

\mathrm{A}

and

\mathrm{B}

be two events such that

P(B \mid A)=\frac{2}{5}, P(A \mid B)=\frac{1}{7}

and

P(A \cap B)=\frac{1}{9} \cdot

Consider (S1)

P\left(A^{\prime} \cup B\right)=\frac{5}{6}

, (S2)

P\left(A^{\prime} \cap B^{\prime}\right)=\frac{1}{18}

Then :