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Provide solution for RD Sharma Maths Class12 Chapter 30 Probability Exercise Fill in the Blanks Question, Question 6.

Answers (1)

Answer: P(A\cup B)

Given:

Let A and B lu two events. Fof such that

PA\neq 0,

P(B)\neq 1 and

\mathrm{P}\left(\frac{\mathrm{A}}{\mathrm{B}}\right)=\frac{1-\mathrm{K}}{\mathrm{P}(\overline{\mathrm{B}})^{\prime}}

Then k=….

Hint:

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

Explanation:

Let A and B are two events

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

=\frac{\mathrm{P}(\mathrm{AUB})}{\mathrm{P}(\mathrm{B})}=\frac{1-\mathrm{P}(\mathrm{A} \cup \mathrm{B})}{\mathrm{P}(\mathrm{B})}-                     

But  P\left(\frac{\overline{\mathrm{A}}}{\overline{\mathrm{B}}}\right)=\frac{1-\mathrm{K}}{\mathrm{P}(\overline{\mathrm{B}})}-(2)
Comparing (1) and (2)

K=P(A\cup B)

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