Final answer:
The probability that the red die shows a number larger than three and the green die shows a number less than three is 1/6.
Step-by-step explanation:
To find the probability that the red die shows a number larger than three and the green die shows a number less than three, we need to determine the favorable outcomes and the total number of possible outcomes.
Let's start with the red die. Since we want a number larger than three, the favorable outcomes are numbers 4, 5, and 6. There are a total of 6 outcomes for the red die.
Now let's move on to the green die. Since we want a number less than three, the favorable outcomes are numbers 1 and 2. There are a total of 6 outcomes for the green die.
To find the probability, we multiply the probabilities of each event. The probability of getting a number larger than three on the red die is 3/6. The probability of getting a number less than three on the green die is 2/6. So, the probability of both events happening is (3/6) x (2/6) = 1/6.