Question

the people who responded to a survey reported that they had either brown, green, blue, or hazel eyes. the results of the survey are shown in the table.
eye color | number of people
brown | 20
green | 6
blue | 17
hazel | 7
what is the probability that a person chosen at random from this group has brown or green eyes?
options:
\\(\frac{3}{25}\\)
\\(\frac{7}{25}\\)
\\(\frac{13}{25}\\)
\\(\frac{17}{25}\\)

Explanation:

Step1: Calculate total number of people

Sum the number of people for each eye color: \(20 + 6 + 17 + 7 = 50\)

Step2: Calculate number of people with brown or green eyes

Add the number of people with brown eyes and green eyes: \(20 + 6 = 26\)

Step3: Calculate the probability

Probability is the number of favorable outcomes (brown or green eyes) divided by total outcomes (total people). So, \(\frac{26}{50}=\frac{13}{25}\)

Answer:

\(\frac{13}{25}\) (corresponding to the option with \(\frac{13}{25}\))