Divisible by 3

\[ {\huge \color{blue}N = \color{green} {123,4}\color{red}{F}\color{green}{6,789}}\]

If \(\color{red} {F}\) is replaced with a digit from the set (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9) at random, what is the probability that \(\color{blue} {N}\) will be divisible by 3?

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