There is more than one artist called The Lucky Strikes.
1) The Lucky Strikes are a swing band formed in 1989 by guitarist/vocalist Craig Marshall (Delta Rays/Craig Marshall Band) with friends Milan Moorman (trumpet), Brian Copeland (bassist) and Freddie Mendoza (trombone).
2). The Lucky Strikes are a blues band. "The Lucky Strikes are a bottle neck blues combo who combine the oldtime ethic of an extensive tour schedule with their own interpretation of the music of prohibition-era America." See http://www.theluckystrikes.com/