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Provide Solution For  R.D. Sharma Maths Class 12 Chapter 30 Probaility  Exercise Multiple Choice Questions Question 31 Maths Textbook Solution.

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Answer:(a)

Hint: You must know the rules of finding probability.

Given:P(A)=\frac{7}{13}, P(B)=\frac{9}{13}, P(A \cap B)=\frac{4}{13}

Solution:P(\bar{A} \cap B)=P(B)-P(A \cap B)

\begin{aligned} &=\frac{9}{13}-\frac{4}{13}=\frac{5}{13} \\ &P\left(\frac{\bar{A}}{B}\right)=\frac{P(\bar{A} \cap B)}{P(B)}=\frac{\left(\frac{5}{13}\right)}{\left(\frac{9}{13}\right)}=\frac{5}{9} \end{aligned}

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