Nine people have been arrested, including one for drug trafficking, at the Melbourne Cup Carnival.

Officers have also fined a 75-year-old woman caught drink driving the wrong way through a roundabout after a race day function at her local bowls club.

Seven people were arrested for being drunk, another was arrested over an assault and one in relation to trafficking a drug of dependence, Victoria Police spokesman Tom Byrne said in a statement.

Between police and security staff, 78 people were evicted from Flemington Racecourse on Tuesday.

In Hastings, local police stopped a woman driving on the wrong side of a roundabout on the Frankston-Flinders Road and High Street about 5pm.

The woman gave a blood alcohol reading of 0.122 per cent - more than twice the legal limit - and she was fined $661 and her licence was cancelled for 12 months.

The Hastings woman told police she had been drinking at a Melbourne Cup function at her favourite bowls club, Mr Byrne said.