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If `A and B` are two independent events such that `P(B) = 2/7, , P(A uu B) = 0.8` then `P(A)=`

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If AandB are two independent events such that P(B)= 2 7 ,,P(A∪B)=0.8 then P(A)= A. 0.1 B. 0.2 C. 0.3 D. 0.4 Select the correct answer from above options

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Correct Answer - C We have, P(A∪ ˉ B )=0.8 and P(B)= 2 7 ⇒P(A)+P( ˉ B )-P(A∩ ˉ B )=0.8 and P( ˉ B )= 5 7 ⇒P(A)+P(B)-P(A)P( ˉ B )=0.8 and P( ˉ B )= 5 7 ⇒P(A)+ 5 7 - 5 7 P(A)=0.8⇒ 2 7 P(A)= 3 35 ⇒P(A)=0.3

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