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  • Let E and F be events with P (E) = 3/5 , P (F) = 3/10 and P (E ∩ F) = 1 / 5. Are E and F independent?

Q.6 Let E  and F be events with P(E)=\frac{3}{5},P(F)=\frac{3}{10}   and P(E\cap F)=\frac{1}{5}.  Are E and F independent?

Answers (1)

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Given :

               P(E)=\frac{3}{5},P(F)=\frac{3}{10}   and P(E\cap F)=\frac{1}{5}.

For events E and F to be independent , we need 

                                                         P(E\cap F)=P(E).P(F)

                                                         P(E\cap F)=\frac{3}{5}\times \frac{3}{10}=\frac{9}{50}\neq \frac{1}{5}

Hence, E and F are not indepent events.

Posted by

seema garhwal

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