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  • Provide solution for RD Sharma Maths Class12 Chapter 30 Probability Exercise Fill in the Blanks Question, Question 5.

Provide solution for RD Sharma Maths Class12 Chapter 30 Probability Exercise Fill in the Blanks Question, Question 5.

Answers (1)

Answer:  Independent

Given:

Let A and B lee ther everts.

If P\left (\frac{A}{B} \right )=P(A),

Then A is … of B

Hint:

Using P\left(\frac{A}{B}\right)=P(A)

Explanation:

Let A and B le two events.
\begin{aligned} &\therefore \mathrm{P}\left(\frac{\mathrm{A}}{\mathrm{B}}\right)=\frac{\mathrm{P}(\mathrm{A} \cap \mathrm{B})}{\mathrm{P}(\mathrm{B})} \\ &\Rightarrow \mathrm{P}(\mathrm{A})=\frac{\mathrm{P}(\mathrm{A} \cap \mathrm{B})}{\mathrm{P}(\mathrm{B})} \\ &\Rightarrow \mathrm{P}(\mathrm{A}) \cdot \mathrm{P}(\mathrm{B})=\mathrm{P}(\mathrm{A} \cap \mathrm{B}) \end{aligned}

So, A is independent of B.

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