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Given P(A) = 0.4 and P(A ∪ B) = 0.7 Find P(B) if A and B are mutually exclusive - Mathematics

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प्रश्न

Given P(A) = 0.4 and P(A ∪ B) = 0.7 Find P(B) if A and B are mutually exclusive

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उत्तर

P(A) = 0.4

P(A ∪ B) = 0.7

When A and B are mutually exclusive

P(A ∪ B) = P(A) P(B)

(i.e.,) 0.7 = 0.4 + P(B)

0.7 – 0.4 = P(B)

(i.e.,) P(B) = 0.3

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पाठ 12: Introduction to probability theory - Exercise 12.3 [पृष्ठ २५९]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
पाठ 12 Introduction to probability theory
Exercise 12.3 | Q 10. (i) | पृष्ठ २५९

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