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Let `E_(1)` and `E_(2)` are the two independent events such that `P(E_(1))=0.35` and `P(E_(1) uu E_(2))=0.60`, find `P(E_(2))`. Select the correct answer from above options

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Let `P(E_(2))=x`. Then, `E_(1)` and `E_(2)`being independent events, we have `P(E_(1) nn E_(2))=P(E_(1))xxP(E_(2))=0.35xx x=0.35 x`. Now, `P(E_(1) uu E_(2))=P(E_(1))+P(E_(2))-P(E_(1) nn E_(2))` `implies 0.60=0.35+x-0.35 x` `implies 0.65 x=0.25` `implies x=0.25/0.65=25/65=5/13`. Hence, `P(E_(2))=5/13`.

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