Conditional Probability with Two-Way Tables

Given a student doesn’t play soccer, what is the probability the student is male?

• 33/56

• 23/56

• 33/75

• 23/35

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 earned a passing grade?

• 20/100

• 35/100

• 65/100

• 87/100

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 a chief?

• 1/100

• 2/100

• 1/33

• 1/67

Chelsea surveyed a sample of students in the senior class to determine the distribution of students with a driver’s license.

What is the probability a randomly selected student is female and can drive?

• 15/60

• 48/60

• 33/120

• 48/120

What is the probability a randomly selected student has no license?

• 20/60

• 32/120

• 20/32

• 20/59

What is the probability that a randomly selected student is a 6th grader given that they are a girl? Round to the nearest percent.

• 8%

• 16%

• 30%

• 53%

What is the probability that a randomly selected student is a boy given that they are in 7th grade? Round to the nearest percent.

• 12%

• 6%

• 26%

• 46%

Given that a randomly selected student is a boy, what is the probability that they are in 7th grade? Round to the nearest percent.

• 12%

• 6%

• 26%

• 46%

What is the probability that a randomly selected politician does not support the issue given that they are republican? Round to the nearest percent.

• 28%

• 55%

• 48%

• 33%

Given that a randomly selected politician supports the issue, what is the probability that they are democrat? Round to the nearest percent.

• 20%

• 50%

• 40%

• 47%