This type of "prevention" is known as chemo-prevention, in that a drug (chemical, hence chemo-) can be taken to prevent a specific illness (hence -prevention). A well-known example of chemo-prevention is tamoxifen, which is used to prevent breast cancer. I point this out as we will be seeing more and more of this type of prevention in the future.
As for this study, more research needs to be done (a randomized, controlled trial) to evaluate if these findings are long-lasting and robust. My advice, though, is to take the baby aspirin (they are accessible, cheap, relatively low risk and good for your heart!) unless you've had a GI bleed or hemorrhagic stroke - then stick to an apple a day and consult your doctor!