A games club has 80 members out of whom 70 play chess, 45 play table tennis, and 35 play both chess and table tennis. If a member of the club is randomly chosen, find the conditional probability that he or she plays table tennis given that he or she plays chess.
$\textbf{IIUC}:$
$P(E|F) = \frac{P(E \cap F)}{P(F)}$
$P(E \cap F) = 35$
$P(F) = 70$
$P(E|F) = \frac{35}{70} = 0.5$
Is my reasoning and answer correct?