find the indicated probability. express your answer as a simplified fraction unless otherwise noted. the…

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. \n| | cola | root beer | lemon - lime |\n|--|--|--|--|\n| under 21 years of age | 45 | 55 | 65 |\n| between 21 and 40 | 30 | 65 | 10 |\n| over 40 years of age | 65 | 10 | 30 |\nif one of the 375 subjects is randomly selected, find the probability that the person is over 40 and drinks cola.\n$\frac{13}{25}$\n$\frac{7}{25}$\n$\frac{28}{75}$\n$\frac{13}{75}$

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. \n| | cola | root beer | lemon - lime |\n|--|--|--|--|\n| under 21 years of age | 45 | 55 | 65 |\n| between 21 and 40 | 30 | 65 | 10 |\n| over 40 years of age | 65 | 10 | 30 |\nif one of the 375 subjects is randomly selected, find the probability that the person is over 40 and drinks cola.\n$\frac{13}{25}$\n$\frac{7}{25}$\n$\frac{28}{75}$\n$\frac{13}{75}$

Answer

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:

$\frac{13}{75}$