JEE Math Practice Question

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 :

1. A.Both (S1) and (S2) are true
2. B.Both (S1) and (S2) are false
3. C.Only (S1) is true
4. D.Only (S2) is true