The baseball teams of the towns of Herrington and Duvall have played each other 30 times. Duvall won 24 times, Herrington won 6 times.

If there were no ties, the relative frequency of the Duvall team winning a game is
and the likelihood that the Duvall team will win the next game is
.

The relative frequency of the Duvall team winning a game is:

Duvall wins / Total number of games played = 24 / 30 = 0.8 or 80%

The likelihood that the Duvall team will win the next game cannot be determined from the given information. However, based on the relative frequency calculated above, one could assume that the Duvall team has a higher chance of winning the next game than the Herrington team.