So, fine, a probabilistic model might work well. And you might decide to bid on 100% of impressions. And you might decide that you have to bid $200 CPM to win -- which you're OK doing, because they're sparse.
And then say that FooConf happens in NYC and your aggressive $200 CPM bid 100% of the time blows out your budget.
Often you can charge the customer you're acting on behalf of your actual spend + X% up to their campaign threshold. So you really want to ensure that you spend as much as possible, without spending too much. Pacing is hard. Google AdWords, for example, only promise to hit your budget +/- 20% over a 1 month period.