Conditional probability of one event given another from their probabilities and their union

Conditional probability of one event given another from their probabilities and their union

5 marks

For two events \(E\) and \(F\), \(\mathrm{P}(E)=0.35\), \(\mathrm{P}(F)=0.6\) and \(\mathrm{P}(E\cup F)=0.8\). Find the exact value of \(\mathrm{P}(F\mid E)\).[5]

Solution:

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Answer:\(\mathrm{P}(F\mid E)=\dfrac{3}{7}\)

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