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If P(B)`=(3)/(4)` P(A cap B cap overset(-)(c ))=(1)/(3)` and `P(overset(" "-)(A) cap B cap overset(-)(C ))=(1)/(3)`, then `P(B cap C)` is equal to
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If P(B)`=(3)/(4)` P(A cap B cap overset(-)(c...
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Nov 13, 2021
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If P(B)= 3 4 P(A cap B cap overset(-)(c ))=(1)/(3)andP(overset(" "-)(A) cap B cap overset(-)(C ))=(1)/(3),thenP(B cap C)isequal→A.(1)/(12)B.(1)/(6)C.(1)/(16)D.(1)/(9)` Select the correct answer from above options
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Nov 13, 2021
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Correct Answer - A Given, P(B)= 3 4 ,P(A∩B∩ ˉ C )= 1 3 and P( ˉ A ∩B∩ ˉ C )= 1 3 which can be shown in Venn diagram. ∴P(B∩C)=P(B)-{P(A∩B∩ ˉ C +P( ˉ A ∩B∩ ˉ C ))} =(3)/(4)-((1)/(3)+(1)/(3))=(3)/(4)-(2)/(3)=(1)/(12)
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