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  • Need solution for RD sharma maths class 12 chapter 30 probablity exercise Very short answer question, question 14

Need solution for RD sharma maths class 12 chapter 30 probablity exercise Very short answer question, question 14

Answers (1)

We can write, P(A \cap B')=P(A).(1-P(B))

Hint:

If A & B are independent then P(A \cap B)=P(A).P(B)

Given:

A & B are two independent events

Explanation:

It is given that , A & B are independent
We know,

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

=P(A)-P(A).P(B)                                  { A & B are independent P(A \cap B)=P(A).P(B) }

\Rightarrow P(A\cap B^{-})=P(A)(1-P(B))

Hence, 

P(A\cap B')=P(A).(1-P(B))

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