maleenatamken maleenatamken
  • 19-01-2017
  • Mathematics
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If P(A)= 0.3 and P(B|A)=0.9 what is P(A B)?

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LammettHash
LammettHash LammettHash
  • 19-01-2017
You seem to be missing a symbol, which I assume is intersection [tex]\cap[/tex].

From the definition of conditional probability,

[tex]\mathbb P(B|A)=\dfrac{\mathbb P(B\cap A)}{\mathbb P(A)}\implies0.9=\dfrac{\mathbb P(B\cap A)}{0.3}\implies\mathbb P(B\cap A)=0.27[/tex]
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