the people who responded to a survey reported that they had either brown, green, blue, or hazel eyes. the…

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.\n| eye color | number of people |\n|--|--|\n| brown | 20 |\n| green | 6 |\n| blue | 17 |\n| hazel | 7 |\nwhat is the probability that a person chosen at random from this group has brown or green eyes?\n$\frac{3}{25}$\n$\frac{7}{25}$\n$\frac{13}{25}$\n$\frac{17}{25}$

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.\n| eye color | number of people |\n|--|--|\n| brown | 20 |\n| green | 6 |\n| blue | 17 |\n| hazel | 7 |\nwhat is the probability that a person chosen at random from this group has brown or green eyes?\n$\frac{3}{25}$\n$\frac{7}{25}$\n$\frac{13}{25}$\n$\frac{17}{25}$

Answer

Explanation:

Step1: Calculate total number of people

Add up 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 and green eyes. $20 + 6 = 26$.

Step3: Calculate the probability

The probability $P$ is the number of favorable outcomes (people with brown or green eyes) divided by the total number of outcomes (total number of people). $P=\frac{26}{50}=\frac{13}{25}$.

Answer:

$\frac{13}{25}$