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In a sample of $100$ heart patients, each patient has $80 \%$ chance of having a heart attack without medicine $\mathrm{X}$. It is clinically known that medicine $\mathrm{X}$ reduces the probability of having a heart attack by $50 \%$. Medicine $\text{X}$ is taken by $50$ of these $100$ patients. The probability that a randomly selected patient, out of the $100$ patients, takes medicine $\mathrm{X}$ and has a heart attack is

  1. $40 \%$
  2. $60 \%$
  3. $20 \%$
  4. $30 \%$
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