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If P" "(A)" "=" "0. 8 , P(B)" "=" "0. 5 ...

If `P" "(A)" "=" "0. 8` , `P(B)" "=" "0. 5` and `P(B|A)" "=" "0. 4` , find (i) `P(AnnB)` (ii) `P(A|B)` (iii) `P(AuuB)`

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It is given that `P(A)=0.8, P(B)=0.5` and `P(B mid A)=0.4`

(i) `P(B mid A)=0.4`

`therefore frac{P(A cap B)}{P(A)}=0.4`

`Rightarrow frac{P(A cap B)}{0.8}=0.4 `
`Rightarrow P(A cap B)=0.32`
(ii) `P(A mid B)=frac{P(A cap B)}{P(B)}` ...
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