Probability with Two-Way Tables and Venn Diagrams

What statement does the shaded region represent

• A or B
• Not A
• A and B
• Not B

What statement does the shaded region represent?

• A or B
• Not B
• Not A
• Not A or B

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

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 is male and does not play soccer?

• 42/110

• 33/110

• 12/110

• 23/110

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

Given a student plays soccer, what is the probability the student is female?

• 12/54

• 42/54

• 12/35

• 42/75

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

Given a student is female, what is the probability the student plays soccer?

• 12/54

• 42/54

• 12/35

• 42/75

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

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

• 33/56

• 23/56

• 33/75

• 23/35

What is P(not sport | Foreign language)?

• 23/37
• 14/23
• 14/37
• 3/23

What is P(A or B | C)?

• 5/8
• 5/16
• 4/5
• 11/16

What is P(not B | A or C)?

• 3/7
• 4/9
• 13/21
• 8/21