Sort of. The result is even stronger though. For one, the probability of the event can be tending to zero. So the thing you are multiplying together (in the negative case) gets closer and closer to one. For another, it states that not only is the event certain to occur, it will occur infinite times. In other words (and frighteningly!), no matter far out you go along the timeline of diminishing probabilities, if the rate of diminishment isn't high enough, infinite occurrences still await you.