Yes, Florida State beat the University of Mississippi 45 to 34 yesterday in the game that the two teams played against each other. Florida State is ranked number four in the nation whereas the University of Mississippi's football program is ranked number 11. The fact that Florida State is ranked so high suggests that the team had a good chance of winning.
Florida has a strong capable team full of talented and dedicated players who work hard and have the ability to work together and trust each other. They are coached by a top noch coaching staff who has plenty of experience. They have what it takes to win against the University of Mississippi.
Every game isn't going to be easy, but Florida State is good enough that they are capable of winning any particular game they are involved in. The school has a history of winning big games too, usually the bigger the better. They will win the game against the University of Mississippi too.
Florida State University can win against Ole Miss in football. Florida State's football team is ranked high, and has many high-quality starters. Florida State is also a bigger school that Ole Miss; with many more wealthy boosters to help support the football program. Florida State absolutely has what it takes to beat other teams like the University of Mississippi in football.