Conditional Probability with Two-Way Tables

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.

What is the probability a randomly selected student got an A or B for the semester?

• 15/100

• 20/100

• 35/100

• 65/100

What is the probability a randomly selected student is male?

• 12/100

• 17/100

• 44/100

• 56/100

The question “Do you play soccer?” was asked of 110 students. Results are shown in the table.

What is the probability a randomly selected student plays soccer?

• 42/75

• 12/35

• 54/110

• 56/110

According to the two-way table, a person who plays an instrument is most likely to:

• Not play an instrument

• Not play a team sport

• Play a team sport

• All of the above

Of the mechanical engineers, what is the probability that math is their favorite subject?

• 91

• 52%

• 17%

• 35%

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.

Given that the grade is an A, what is the probability of the student being female?

• 8/20

• 12/20

• 8/44

• 12/56

The two-way table above gives information about the grades for the semester in Mrs. Hardcase’s English class.

Given that the grade is a B, what is the probability of the student being male?

• 6/15

• 9/15

• 6/56

• 9/44

The make-up of employees at a police station is shown in the table above:

What is the probability that a randomly selected employee is male and a sergeant?

• 8/13

• 8/33

• 8/67

• 8/100

Given the employee is a chief, what is the probability the employee is male?

• 1/100

• 1/33

• 1/2

• 1/67

The make-up of employees at a police station is shown in the table above:

Given the employee is a female, what is the probability of the employee being a chief?

• 1/2

• 1/33

• 1/67

• 1/100