Another brain teaser?

I believe I got this from the Ask Marilyn column in the Parade magazine newspaper insert.

A man is standing at the roulette wheel in a casino when he is approached by someone giving the following spiel: “Why should the casino be taking our money? Why not gamble between the two of us? Here is what I propose. Each of us selects a sequence of 3 color choices of red or black. The winner will be the one whose sequence first shows up on roulette wheel spinnings. This is of course totally random, but to show what a good sport I am, I will let you select your colors first.”

This is in fact a hussle. By going second and making the right color choices, the hussler always has a better than 50 percent chance of winning. Suppose that the offer is accepted and the first man chooses the sequence: red, red, red. What would the other man choose? What would be the chances of red, red, red being the winning sequence?