Question

In a class of students, the following data table summarizes how many students have a brother or a sister. What is the probability that a student chosen randomly from the class has a brother and a sister?

Has a brother Does not have a brother
Has a sister 5 6
Does not have a sister 4 12

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the probability that a student chosen randomly from the class has a brother and a sister, we first need to determine the total number of students in the class who have a brother and a sister.

From the data table, we see that there are 5 students who have a brother and a sister.

Next, we calculate the total number of students in the class by adding up the values in the table:
Total = 5 + 6 + 4 + 12 = 27

The probability that a student chosen randomly from the class has a brother and a sister is given by:
Probability = Number of students who have a brother and a sister / Total number of students = 5 / 27 = 5/27

Therefore, the probability that a student chosen randomly from the class has a brother and a sister is 5/27.