If A and B are two independent events such that `P( A uuB)=2//15` and `P(Auu B )=1//6` , then find `P(B)dot`

Explanation

`P(A)=x `

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P(B)=y `

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P(bar{A} cap B)=frac{2}{15} `

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Rightarrow P(bar{A}) times P(B)=frac{2}{15} `

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Rightarrow(1-x) y=frac{2}{15} ldots(1) `

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P(A cap bar{B})=frac{1}{6} `

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Rightarrow P(A) times P(B)=frac{1}{6} `

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Rightarrow(1-y) x=frac{1}{6} ldots(2)`


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