Question

A PGY1 post-graduate conducted a survey study in her community. Of 10,000 surveyed residents, there are 200 persons with diabetes mellitus, 50 persons with heart disease and 20 persons with both diabetes and heart disease. If a selected resident has diabetes mellitus, what is the probability that this same individual also has heart diseaseA) 10%

B) 20%
C) 0.2%
D) 40%
E) 0.5%

Answer 1

A) 10%

Explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

If a selected resident has diabetes mellitus, what is the probability that this same individual also has heart disease

Desired outcomes:

Both diseases.

20 persons with both diabetes and heart disease, which means that
`D = 20`.

Total outcomes:

Residentes with diabetes mellitus, which there are 200. So
`T = 200`

Probability:

`p = (D)/(T) = (20)/(200) = 0.1`

0.1 = 10%

So the correct answer is:

A) 10%