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  • Need solution for RD Sharma Maths Class12 Chapter 30 Probability Exercise Fill in the Blanks Question, Question 12.

Need solution for RD Sharma Maths Class12 Chapter 30 Probability Exercise Fill in the Blanks Question, Question 12.

Answers (1)

Answer:   P(A)+P(B)-2P(A\cap B)

Given:

If A and B are two everts, then the provability of occurrence of exactly one of A and B is equal to ...

Hint:

P(A\cap B)=P(A)-P(A\cap B)

Explanation:

Exactly one of the events of ε;A and B is represented by A\cap B+A\cap B

Hence ,

\begin{aligned} \mathrm{P}(A \cap \bar{B})+P(\bar{A} \cap B) &=[P(A)-P(A \cap B)]+[P(B)-P(A \cap B)] \\ &=P(A)+P(B)-2 P(A \cap B) \end{aligned}

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