Question

find the indicated probability. express your answer as a simplified fraction unless otherwise noted. the table below shows the soft drinks preferences of people in three age groups.

	cola	root beer	lemon - lime
between 21 and 40	30	65	10
over 40 years of age	65	10	30

if one of the 375 subjects is randomly selected, find the probability that the person is over 40 and drinks cola.
$\frac{13}{25}$
$\frac{7}{25}$
$\frac{28}{75}$
$\frac{13}{75}$

Explanation:

Step1: Identify favorable outcomes

The number of people over 40 and drink cola is 65.

Step2: Identify total outcomes

The total number of subjects is 375.

Step3: Calculate probability

The probability $P$ is the ratio of favorable outcomes to total outcomes, so $P=\frac{65}{375}=\frac{13}{75}$.

Answer:

$\frac{13}{75}$