for a certain class, the following data table compares how many students have a brother or a sister. what is…

for a certain class, the following data table compares how many students have a brother or a sister. what is the probability that a randomly chosen student from the class does not have a brother?\n| |has a brother|does not have a brother|\n|--|--|--|\n|has a sister|3|20|\n|does not have a sister|2|5|

for a certain class, the following data table compares how many students have a brother or a sister. what is the probability that a randomly chosen student from the class does not have a brother?\n| |has a brother|does not have a brother|\n|--|--|--|\n|has a sister|3|20|\n|does not have a sister|2|5|

Answer

Explanation:

Step1: Calculate total number of students

$3 + 20+2 + 5=30$

Step2: Calculate number of students without a brother

$20 + 5=25$

Step3: Calculate the probability

The probability $P$ that a student does not have a brother is $\frac{25}{30}=\frac{5}{6}$

Answer:

$\frac{5}{6}$