forbiscuit forbiscuit

22-07-2018
Mathematics

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suppose P(A) = 0.9, P(B) = 0.3, and P(B|A) = 0.2. What is P(A|B) ?

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LammettHash LammettHash

30-07-2018

By definition of conditional probability,

[tex]P(B\mid A)=\dfrac{P(B\cap A)}{P(A)}\implies P(B\cap A)=0.2\cdot0.9=0.18[/tex]

Similarly,

[tex]P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{0.18}{0.3}=0.6[/tex]

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