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

Sum

Solution

Given:
P (A) = 0.54, P (B) = 0.69 and P (A ∩ B) = 0.35

By addition theorem, we have:
P (A ∪ B) = P(A) + P (B) -P (A ∩ B)
                 = 0.54 + 0.69 -  0.35
                 = 0.88 

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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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