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  • Provide solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise 30.3 question 5 sub question (iii).

Provide solution for RD Sharma Maths Class 12 Chapter 30 Probability Exercise 30.3 question 5 sub question (iii).

Answers (1)

Answer: \frac{5}{9}

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

Given:

\begin{aligned} &P(A)=\frac{7}{13} \\ &P(B)=\frac{9}{13} \\ &P(A \cap B)=\frac{4}{13} \end{aligned}            

Solution:

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

Now,

\begin{aligned} &P(\bar{A} / B)=\frac{P(\bar{A} \cap B)}{P(B)} \\ &=\frac{\frac{5}{13}}{\frac{9}{13}} \\ &=\frac{5}{9} \end{aligned}

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