No, the bag is supposed to have 24 marbles, and Gene's model has 53.
To elaborate, Gene's probability model indicates that there are 12 blue marbles, 14 red marbles, 13 yellow marbles, and 14 green marbles, which sums to a total of 12 + 14 + 13 + 14 = 53 marbles. This exceeds the total of 24 marbles mentioned in the problem statement. Therefore, his probability model is incorrect.