Question

calculating a probability

a pharmaceutical company collects data on the side effects participants report for a drug it is testing. the company finds that the probability of experiencing a headache is 5 percent and the probability of experiencing both a headache and heartburn is 2 percent. if the probability of experiencing a headache or heartburn is 8 percent, what is the probability of experiencing heartburn?

1 percent
5 percent
11 percent
15 percent

Explanation:

Define the given probabilities

Using the Probability Addition Rule knowledge point
Let \(A\) be the event of experiencing a headache, and \(B\) be the event of experiencing heartburn.

$$
LATEXBLOCK0
$$

Solve for the probability of heartburn

Using the Probability Addition Rule knowledge point

$$
LATEXBLOCK1
$$

Answer:

• 1 percent
• 5 percent (Correct answer)
• 11 percent
• 15 percent