\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Consider the following probability tree diagram. The two events \(E\) and \(F\) are independent.
Calculate the probability that neither \(E\) nor \(F\) occur (i.e., both the complement events \(E'\) and \(F'\) happen):
\(P(E' \text{ and } F')=\)