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A and B are events such that P(A) = 0.42, P(B) = 0.48 and P(A and B) = 0.16. Determine P(A or B).

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Question

A and B are events such that P(A) = 0.42, P(B) = 0.48 and P(A and B) = 0.16. Determine P(A or B).

Sum
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Solution

P(A) = 0.42, P(B) = 0.48

P(A and B) = P(A ∩ B) = 0.16 

P(A or B) = P (A ∪ B) = P(A) + P(B) – P(A ∩ B)

= 0.42 + 0.48 – 0.16

= 0.90 – 0.16

= 0.74

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Concept of Probability - Probability of 'Not', 'And' and 'Or' Events
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Chapter 14: Probability - EXERCISE 14.2 [Page 307]

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NCERT Mathematics [English] Class 11
Chapter 14 Probability
EXERCISE 14.2 | Q 17. (iii) | Page 307

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