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A and B are two events such that `P(A cup B)=(3)/(4), P(A)=(1)/(3), P(overline(A) cap B)=`
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A and B are two events such that `P(A cup...
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Nov 16, 2021
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A and B are two events such that P(A∪B)= 3 4 ,P(A)= 1 3 ,P( ˉ A ∩B)= A. 5 12 B. 3 8 C. 5 8 D. 1 4 Select the correct answer from above options
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Nov 16, 2021
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Correct Answer - A Since A and A ∩ B ∩ are mutually exclusive events such that A ∪ B = A ∪ ( ¯¯¯ A ∩ B ) A ⇒ P ( A ∪ B ) = P ( A ) + P ( ¯¯¯ A ∩ B ) ⇒ ⇒ 3 4 = 1 3 + P ( ¯¯¯ A ∩ B ) ⇒ P ( ¯¯¯ A ∩ B ) = 5 12 ⇒
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