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If A and B are two events associated with a random experiment such that P(A) = 0.3, P(B) = 0.2 and P(A ∩ B) = 0.1, then the value of P(A∩B¯) is ______. - Mathematics

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Question

If A and B are two events associated with a random experiment such that P(A) = 0.3, P(B) = 0.2 and P(A ∩ B) = 0.1, then the value of `P(A ∩ barB)` is ______.

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Solution

If A and B are two events associated with a random experiment such that P(A) = 0.3, P(B) = 0.2 and P(A ∩ B) = 0.1, then the value of `P(A ∩ barB)` is 0.2.

Explanation:

Given that: P(A) = 0.3, P(B) = 0.2

P(A ∩ B) = 0.1

∴ `P(A ∩ barB)` = P(A) – P(A ∩ B)

= 0.3 – 0.1

= 0.2

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Chapter 16: Probability - Exercise [Page 301]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 16 Probability
Exercise | Q 40 | Page 301
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