**Q1: **

Suppose that and are two events. Given that and , find .

**Q2: **

Suppose that and are two events. Given that and , find .

**Q3: **

Suppose that and are two events. Given that and , find .

**Q4: **

Suppose that and are events with probabilities and . Given that , find .

**Q5: **

240 people are taking science classes. There are 104 people studying chemistry, 132 people studying biology, and 68 of those are studying both. What is the probability that a person is studying Chemistry given that they are studying Biology?

- A
- B
- C
- D

**Q6: **

Suppose that and are events in a random experiment. Given that and , find .

**Q7: **

In a group of 96 people, 34 out of the 71 women have a smartphone, and 18 men do not have a smartphone. Determine the probability that a randomly picked smartphone owner in this group will be female.

- A
- B
- C
- D
- E

**Q8: **

The table shows the data on all the students who tried out for the baseball team. Find the probability that Raymond is right-handed given that he tried out and did not make the team.

Made the Team | Did Not Make the Team | |
---|---|---|

Left-Handed | 16 | 19 |

Right-Handed | 23 | 12 |

- A
- B
- C
- D
- E

**Q9: **

Thomas rolled a fair six-sided die. Determine the probability of him rolling a 6 or less given that he rolled an odd number.

- A
- B1
- C
- D

**Q10: **

For two events and , and . Determine the probability of .

**Q11: **

The two-way table shows the ages and activity choices of a group of participants at a summer camp.

Swimming | Climbing | Abseiling | |
---|---|---|---|

14 and Under | 15 | 24 | 8 |

Over 14 | 18 | 32 | 24 |

A child is selected at random. Given that they chose abseiling, find the probability that the child is over 14.

- A51%
- B19.8%
- C75%
- D24.7%
- E48%

**Q12: **

Consider the following Venn diagram.

Calculate the value of .

- A
- B
- C
- D
- E

**Q13: **

Suppose and . What is the probability that events and both occur?

- A
- B
- C
- D
- E

**Q14: **

Andrew and Shirley are running for the presidency of the Students’ Union at their school. The votes they received from each of 3 classes are shown in the table. What is the probability that a student voted for Shirley given that they are in the Class B?

Class A | Class B | Class C | Total | |
---|---|---|---|---|

Andrew | 161 | 169 | 177 | 507 |

Shirley | 147 | 195 | 152 | 494 |

- A
- B
- C
- D

**Q15: **

For two events and , , , and .

Work out the probability of given .

- A
- B
- C
- D
- E

Work out the probability of given .

- A
- B
- C
- D
- E

**Q16: **

The given Venn diagram shows the probabilities of events and occurring or NOT occurring in different combinations.

Calculate the value of .

- A
- B
- C
- D
- E

Hence, calculate .

- A
- B
- C
- D
- E

Calculate .

- A
- B
- C
- D
- E

Are and independent events?

- Ano
- Byes