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(b) A and B are two events such that P (A) = 0.54, P (B) = 0.69 and P (A ∩ B) = 0.35. Find (iv) P (B ∩ ¯ A ) - Mathematics

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Question

A and B are two events such that P (A) = 0.54, P (B) = 0.69 and P (A ∩ B) = 0.35. Find

P (B ∩ \[\bar{ A } \] )

Solution

Given:
P (A) = 0.54, P (B) = 0.69 and P (A ∩ B) = 0.35
\[P\left( \bar{A} \cap B \right) = P\left( B \right) - P\left( A \cap B \right)\]

                          = 0.69 - 0.35
                          = 0.34

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Chapter 33: Probability - Exercise 33.4 [Page 67]

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RD Sharma Mathematics [English] Class 11
Chapter 33 Probability
Exercise 33.4 | Q 1.2 | Page 67

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