1. Two events,$D$ and $E$ are such that  $P(D)=0.2$,  $P(E)=0.4$  and  $P(E|D)=0.7$.

(i) Use the formula  $P(D\capE)=P(D)\timesP(E|D)$  to find  $P(D\capE)$.

(ii) Use the formula $P(D\capE)=P(D)+P(E)-P(D\cupE)$ to find  $P(DUE).$

(iii) Use the formula  $P(D\capE)=P(D)\timesP(E)$  to deduce whether the events $D$ and $E$ are independent or not.