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An adequately powered, randomized controlled trial conducted over 2 years demonstrated that the primary outcome (a serious cardiovascular event) occurred in 15% of the patients who received the new drug, whereas the primary outcome occurred in 25% of the patients who received a placebo. The relative risk reduction achieved with the new drug is:

  1. 10%.

  2. 15%.

  3. 25%.

  4. 40%.

The correct answer is: 40%.

The relative risk reduction achieved with the new drug is 40%, which is calculated by subtracting the probability of the primary outcome in patients who received the drug (15%) from the probability of the primary outcome in patients who received a placebo (25%). This means that the new drug reduced the risk of experiencing a serious cardiovascular event by 40% compared to the placebo. Options A, B, and C are incorrect because they either represent the absolute difference in risk between the two groups, not the relative risk reduction, or they are lower than the actual relative risk reduction of 40%. This highlights the importance of understanding the difference between absolute and relative risk reduction when interpreting study results.