[tex]$P(A)=\frac{3}{5}, P(B)=\frac{1}{4}$[/tex], and [tex]$P(A \cap B)=\frac{3}{10}$[/tex]. Are [tex]$A$[/tex] and [tex]$B$[/tex] independent?
Select the option that provides both the correct answer and the correct reason.
A. Yes, because [tex]$\frac{3}{5}\left(\frac{1}{4}\right)=\frac{3}{10}$[/tex].
B. No, because [tex]$\frac{3}{5}\left(\frac{1}{4}\right) \neq \frac{3}{10}$[/tex].
C. Yes, because [tex]$\frac{3}{5}+\frac{1}{4}=\frac{3}{10}$[/tex].
D. No, because [tex]$\frac{3}{5} \div \frac{1}{4} \neq \frac{3}{10}$[/tex].
E. No, because [tex]$\frac{3}{5}+\frac{1}{4} \neq \frac{3}{10}$[/tex].