A red die and blue die are rolled. The red die has 5 sides and the blue die has 6 sides. What is the probability of rolling a 3 on the red die and a 4 on the blue die? You do not need to simplify your answer.

The probability of rolling a 3 on the red die is $\dfrac16$, and the probability of rolling a 4 on the blue die is $\dfrac16$. So, the probability of rolling a 3 on the red die and a 4 on the blue die is $\dfrac16 \cdot \dfrac16 = \dfrac{1}{36}$. Answer: $\boxed{\dfrac{1}{36}}$.