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Need Solution for R.D.Sharma Maths Class 12 Chapter 30 Probability  Exercise Multiple Choice Questions  Question 36 Maths Textbook Solution.

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Answer:(d)

Hint: You must know the rules of finding probability.

Given:P(A)=0.4, P(B)=0.8, P\left(\frac{B}{A}\right)=0.6

Solution:

\begin{aligned} &P\left(\frac{B}{A}\right)=0.6 \\ &\frac{P(A \cap B)}{P(A)}=0.6 \\ &P(A \cap B)=0.6 \times P(A) \\ &P(A \cap B)=0.6 \times 0.4=0.24 \end{aligned}

Now,

\begin{aligned} &P(A \cup B)=P(A)+P(B)-P(A \cap B) \\ &=0.4+0.8-0.24 \\ &=1.2-0.24 \\ &=0.96 \end{aligned}

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