Question 12Three distinct integers are selected at random between $1$ and $2016,$ inclusive. Which of the following is a correct statement about the probability $p$ that the product of the three integers is odd?$p \lt \dfrac{1}{8}$$p = \dfrac{1}{8}$$\dfrac{1}{8} \lt p \lt \dfrac{1}{3}$$p = \dfrac{1}{3}$$p \gt \dfrac{1}{3}$