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If A and B are two independent events su...

If `A` and `B` are two independent events such that `P(A)=0. 3` and `P(AuuB')=0. 8`
Find `P(B)`

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If events are independent, then `P(AnnB)=P(A)P(B)`

`P(AuuB')=P(A)+P(B')-P(AnnB')`

`0.8=0.3+P(B')-P(A)P(B')`

`0.5=P(B')-0.3P(B')`

`0.5=0.7P(B')`

`P(B')=5/7`

`P(B)=1-P(B')`

`P(B)=1-5/7`

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