[RocketManJames]

Thanks for the responses... so, I ran some numbers using what you both described, and I found some that are very close to equal, but not exact. But, I only ran up to 10,000 ranks.

For up to 10,000 ranks, the closest one to equal likelihood (I think) was for 3990 ranks and 1205 suits. Also, now that I look at the results of my plot, I'm not sure if I did something wrong. If you plot # of Ranks against the "dividing" # of suits, it's basically linear. Is that "obvious"?

Edited:

Top 6 for up to 65K Ranks... (Rank, Suits)
64714 19552
52223 15778
39732 12004
16481 4979
27241 8230
3990 1205

This was probably a totally useless exercise, but I learned a bit, so that was cool. I still would be interested to know if there are an infinite number of solutions, multiple solutions, or just a single solution that would produce exact number of flushes and straights.

Thanks, again.

-RMJ