**Toolbox:**

- To check if 2 events E and F are independent, check if \(\;P(E).P(F)=P(E\cap\;F)\)

Given \(\;P(E)=\large \frac{3}{5}\), \(\;P(F)=\large \frac{3}{10}\) and \(\;P(E\cap\;F)=\large \frac{1}{5}\)

\(\Rightarrow \;P(E).P(F)=\large \frac{3}{5}\times\frac{3}{10}\)\(=\large \frac{9}{50} \)\(\neq\;P(E\cap\;F)\)

Therefore, E and F are NOT independent