Take mammograms for example. Some European countries have stopped using them all together because even the US admits it raises the likelihood of getting breast cancer. But the US medical system will tell you it's worth increasing your chances of breast cancer from mammograms, because they help you catch breast cancer you may have gotten in other ways earlier, thus making it more treatable.
Not a bet I would take personally. But women are rarely told that. Every women I've told that to is shocked.