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There are a total of 6 outcomes when rolling a number cube twice (1-1, 1-2, 1-3, 1-4, 1-5, 1-6, 2-1, 2-2, .... , 6-5, 6-6). Out of these 36 possible outcomes, there are 18 outcomes where the first roll is even (2, 4, or 6) and the second roll is odd (1, 3, or 5).
Therefore, the probability of the first roll being even and the second roll being odd is 18/36, which simplifies to 1/2.
So, the probability is 1/2.