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  • Provide solution for RD sharma maths class 12 chapter 30 Probablity Exercise very short answer question, question 9

Provide solution for RD sharma maths class 12 chapter 30 Probablity Exercise very short answer question, question 9

Answers (1)

The required expression is P(A)+ P(B) -2P(A\cap B)

Hint:

P(exactly one of 2 events occurs) =P(A\cup B)-P(A\cap B)

Given:

A and B are two events

Explanation:

It is given that ,

A & B are two events

We need to find expression such that exactly one of two events occurs

\Rightarrow P( Exactly one of 2 everts occurs )
=P(A\cup B)-P(A\cap B) \;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\ [\because P(A\cup B)=P(A)+P(B)-P(A\cap B)]\\ =P(A)+P(B)-P(A\cap B)-P(A\cap B)\\ =P(A)+P(B)-2P(A\cap B)

Hence , The required expression is P(A)+P(B)-2P(A\cap B)

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