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The theoretical probability of picking a green marble can be calculated by the formula:
Number of favorable outcomes / Total number of possible outcomes
In this case, the number of favorable outcomes (green marbles) is 12, and the total number of possible outcomes (all marbles) is 5 + 7 + 12 + 2 + 4 = 30.
Therefore, the theoretical probability of picking a green marble is:
12/30 = 2/5 = 0.4 = 40%