\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Niamh plays a game of table tennis on Saturday and a game of badminton on Sunday. The probability of winning table tennis is \(0.4\) and the probability of winning badminton is \(0.7\). The two events are independent. The probability tree is shown below:
Calculate the probability that Niamh wins both games.
\(P(\text{"Win both"}) =\)