Events \(D\) and \(E\) are independent, with \(P(D)=0.6\) and \(P(D \text{ and } E)=0.18\). Which of the following is true?

Summary Submit

We first attempt to find the probability of event \(E\).

$$ P(D\cap E) = P(D)\cdot P(E) $$ $$ 0.18 = 0.6 \cdot P(E) $$ $$ P(E)=0.3 $$

We can not find the probability of \(D\) or \(E\) occuring:

$$ P(D\cup E)=P(D) + P(E) - P(D\cap E) $$ $$ P(D\cup E)= 0.6 + 0.3 - 0.18 =\boxed{0.72}$$