If we follow the spirit of his empiricism, there is no reason to assume this.
Low probability is compatible with truth.
True, I would do well not to try and predict of any particular 15-digit number that it will come up. But the fact that one WILL come up shows there's nothing impossible about such a number coming up. So it seems no amount of probability is sufficient for absolute certainty, and rational belief can't just be based on high probability. So it should be rational to infer that ALL tickets will lose. This seems to confirm Hume's view that there is no rational way to justify beliefs.