A red die and blue die are rolled. The red die has

10 sided and the blue die has 8 sided. 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 $\dfrac{1}{10}$, and the probability of rolling a 4 on the blue die is $\dfrac{1}{8}$. Since the outcome on the red die does not affect the outcome on the blue die, we can multiply these probabilities together to find the probability of both events happening: $\dfrac{1}{10} \times \dfrac{1}{8} = \dfrac{1}{80}$. Therefore, the probability of rolling a 3 on the red die and a 4 on the blue die is $\dfrac{1}{80}$.