A red dye and a blue dye are rolled. The red dye has five sides, and the blue dye has 10 sides. What is the probability of rolling a three on the red dye in a four on a blue dye?

To find the probability of rolling a three on the red dye and a four on the blue dye, we need to first calculate the individual probabilities of rolling each number.

The probability of rolling a three on the red dye is 1/5 because there is only one three on a five-sided die.

The probability of rolling a four on the blue dye is 1/10 because there is only one four on a ten-sided die.

To find the probability of both events happening, we multiply the individual probabilities:
(1/5) * (1/10) = 1/50

So, the probability of rolling a three on the red dye and a four on the blue dye is 1/50.