### Instruction: Two 6-sided dice, one red and one green, are rolled.  What is the probability that the red die shows a 2 and the green die shows a 5?### Response: To find the probability of a compound event, I can use the rule of multiplying the probabilities of the independent events.
The red die and the green die are independent, because the outcome of one does not affect the outcome of the other.
The probability of the red die showing a 2 is 1/6, because there is one 2 out of six possible faces.
Similarly, the probability of the green die showing a 5 is 1/6.
Therefore, the probability of both events happening together is 1/6 times 1/6, which is 1/36.
I can write this as a fraction or a decimal.