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

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)

Posted by

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