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First, let's calculate the probability of picking a red cube on the first pick.
Total number of cubes = 8 (red) + 3 (yellow) + 5 (green) = 16
Probability of picking a red cube on the first pick = 8/16 = 1/2
Now, if Magan picked a red cube on the first pick and kept it, the total number of cubes remaining would be 15.
Number of red cubes remaining = 8 - 1 = 7
Total number of cubes remaining = 15
Therefore, the probability of picking another red cube on the second pick = 7/15
Multiplying the probabilities of both events:
Probability of picking a red cube on the first pick and another red cube on the second pick = (1/2) * (7/15) = 7/30 or approximately 0.2333 or 23.33% probability.