Double up question.

I need a little help with this math/reasoning problem.

Let's say you have $1,100 and your goal is to win $1,000 sports betting but you have little to no knowledge of sports.

All bets are at a regular 10% vig and the only goal is to win $1,000 regardless of how much time it takes.

What would be the best way to approach this? One double up bet and a number of smaller bets if so how many?

Why?