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Provide Solution For  R. D. Sharma Maths Class 12 Chapter 30 Probaility  Exercise Multiple Choice Questions Question 21 Maths Textbook Solution.

Answers (1)

Answer: (d)

Hint: You must know the rules of finding probability.

Given: A and B are two events, the P(\bar{A} \cap B)=?

Solution:

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

From diagram,

we get, A \cap B and \bar{A} \cap B are\: mutually \: exclusive

such that (A \cap B) \cup(\bar{A} \cap B)=B

\therefore By \: addition\: theorem,

\begin{aligned} &P(A \cap B)+P(\bar{A} \cap B)=P(B) \\ &\therefore P(\bar{A} \cap B)=P(B)-P(A \cap B) \end{aligned}

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