There's nothing about luck in this though, the "non-dud" ones were just able to push the problems under the rug and make it a problem of the people of the futur

There's nothing about luck in this though, the "non-dud" ones were just able to push the problems under the rug and make it a problem of the people of the future. The reason why you end up with a dud through election is that the rug can't cover all that anymore.