Question

In a geometry class, there are 28 students. Of the 28 students, 15 students are male and 13 students are female. On a recent exam, 9 female students passed the exam and 13 male students passed the exam. If a student from the class is chosen at random, what is the probability that the student will be a male or passed the exam?

Answer 1

Answer: 6/7

Step-by-step explanation:

1) Do a table with the given data

male female total
passed 13 9
failed
total 15 13 28

2) complete the table calculating the missing information:

male female total
passed 13 9 22
failed 2 4 6
total 15 13 28

3) Probaility that a student will be a male: 15 / 28

4) probability that the student passed = 22 / 28

5) probability that a student will be a male or passed = probability that a student will be a male + probaility that the studen passed - probability that the student will be a male and passed

probability that the student will be a male and passed = 13 / 28

probability that a student will be a male or passed = 15 / 28 + 22 / 28 - 13 /28 =

= 24 / 28 = 6/7

Answer: 6/7