If an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 8?

~$\frac{1}{4}$~

~$\frac{3}{8}$~

~$\frac{1}{2}$~

~$\frac{5}{8}$~

~$\frac{3}{4}$~