NLHE odds: Odds against a flush or straight?

Question

Hi all,

What are the odds that a full board (5 cards) cannot possibly make a flush or a straight?

Answer 1

That's too difficult to answer, as there are an incalculable variety of possible boards.

I will say that if an ace is present, a straight is always possible.

Answer 2

The board in a texas hold'em game will make a straight 0.039% of the time.

It will make a flush about 0.020% of the time.

The odds that the board will be lower than either a straight or a flush is about 99.2%