$\frac25\times\frac34+\frac35\times\frac24=\frac{3}{5}$ 
Two different numbers are randomly selected from the set $-5, -3, -1, 3, 5$~and multiplied together. What is the probability that the product is a negative number?~ 
Options:
(A) $\frac{5}{6}$ 
(B) $\frac{2}{5}$ 
(C) $\frac{3}{4}$ 
(D) $\frac{1}{2}$ 
(E) $\frac{3}{5}$ 