The probability of rolling a number larger than 2 on a fair number cube is 4/6. The probability of rolling a number larger than 2 again is also 4/6. Therefore, the probability of rolling a number larger than 2 and then rolling a number larger than 2 again is 4/6 x 4/6 = 16/36 = 4/9.
So, the answer is C, 4/9