"held a drawing" is correct and usable in written English.
You can use it when describing an event in which a winner or winners are selected randomly from a group of entrants. For example: "The school held a drawing to determine the winner of the raffle for the dance tickets." or "The company held a drawing to select the winner of the grand prize trip to Hawaii."
Mrs. Polk put their names in a hat and held a drawing.
The wire held a drawing tool, and when the magnet was moved using a paired magnet that was below the drawing surface, marks were made in a semi-controlled manner.
Mississippi's alligator hunt was started in 2005 when the state's Department of Wildlife, Fisheries and Parks held a drawing to select 240 applicants to hunt either on the Pearl River or the Pascagoula, the largest undammed river by volume in the lower 48 states.
Some regular trains ended up being delayed slightly to accommodate the hordes of golf fans, but the railroad, anticipating this and an ensuing outcry from riders, held a drawing this week in which nice prizes were given -- including four tickets to the Open, won by a man from Huntington.
Another protester held a drawing of a man being shot with machine guns.
There was also that embarrassing incident last spring, when Gorky's held a drawing for a free buffet dinner and the winner gave his 25 tickets to some of the neighborhood's homeless.
That's because the MTA is holding a drawing to pick the rider--and anyone can enter.
This could mean holding a hands-on product demonstration, adding technology to your booth, giving out free items, or holding a drawing.
Cardiff City were held a draw by Conference South side Bath City in a pre-season friendly at Twerton Park.
A slot adjacent to the door would have held a draw-bar, to reinforce the entry, and several mason's marks remain around the door.
Boris sacrificed a knight for my two central pawns and eventually won, although later analysis showed that I could have held a draw.
