Divide a quantity into two parts in a given ratio.
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When you draw the first ball, you have three positive outcomes (the three red balls) and 6 possible outcomes (any of the six balls in the box).
This means that the probabilty of getting a red ball in the first draw is
since you return the first drawn ball to the box, the second drawn takes place with the same conditions as the first, exept this time you're looking for a green ball, and thus you only have one positive outcome. So, the probability of getting a green ball is
The probability of two independent events occuring one after the other is the product of the two probabilities, so the answer to your question is