Question

the two - way table shows the results of a recent study on the effectiveness of the flu vaccine. what is the probability that a randomly selected person who tested positive for the flu is vaccinated?

	pos.	neg.	total
not vaccinated	485	600	1,085
total	950	1,371	2,321

options:

• \\(\frac{465}{2,321}\\)
• \\(\frac{465}{1,236}\\)
• \\(\frac{465}{950}\\)
• \\(\frac{465}{485}\\)

Explanation:

Step1: Identify the relevant data

We need the number of people who tested positive and are vaccinated (465) and the total number of people who tested positive (950).

Step2: Calculate the probability

The probability is the number of vaccinated and positive divided by the total number of positive. So it's $\frac{465}{950}$.

Answer:

$\frac{465}{950}$ (corresponding to the option with this fraction)