Imaginary poker game probability question

[NoSoup4U]

Hold'Em and 7 card stud are games where you make your best 5 card hand from 7 cards. In this game, you are more likely to get a straight than a flush. What if we created a game of 9 card stud, where you made your best 5 card hand from 9 cards? Are flushes still less likely than straights? What if it was 11 card stud?

I am convinced that eventually flushes become more likely because in 17 card stud, you would always have a flush, but not always have a straight. In fact, you could be dealt 44 cards and still not have a straight.

I lack the required probability expertise to calculate the odds. Can someone teach me?