Imagine that we decided to conduct medical research.
You gathered data about two groups: 750 people with heart problems and 800 with chronic stomachache.
You know that 7% of interviewed from the first group have diabetes; meanwhile, 12% of respondents from the second group have diabetes too.
Calculate the probability that a randomly selected person with diabetes has a chronic stomachache.

We can use Bayes' theorem to calculate the corresponding probability.

1. Calculate the probability that a randomly selected person has a heart problem.
2. Calculate the probability that the randomly selected person has a stomachache.
3. Calculate the probability that you randomly select a person that has diabetes.