Mrs. Conway, AP Statistics
Freeman High School
Name: ___________________________
Date: _________________
Probability Review
3 feet
Use this information to answer the following questions:
As shown in the accompanying diagram, a square target with a
length of 3 feet has a circular bull’s eye with a
radius of 1 foot.
1. If an arrow randomly hits the target, what is the probability that the
arrow hits the bull’s eye? That the arrow does not hit the bull’s eye?
1 foot
2. If three arrows randomly hit the target, what is the probability that all three arrows hit the bull’s eye?
3. If three arrows randomly hit the target, what is the probability that the first two arrows hit the bull’s eye and the third
one does not hit the bull’s eye?
4. If three arrows randomly hit the target, what is the probability that two arrows hit the bull’s eye and one does not?
5. If three arrows randomly hit the target, what is the probability that at least two arrows hit the bull’s eye?
Mrs. Conway, AP Statistics
Freeman High School
Name: ___________________________
Date: _________________
6. All bags entering a research facility are screened. Ninety-seven percent of the bags that contain forbidden material
trigger an alarm. Fifteen percent of the bags that do not contain forbidden material also trigger the alarm. If 1 out of
every 1,000 bags entering the building contains forbidden material, what is the probability that a bag triggers the alarm
will actually contain forbidden material.
7. Suppose your shelf contains four mathematics textbooks and only two English textbooks (we all know that the study
of mathematics is far superior to the study of English, although both are very important). You randomly choose two
books. What is the probability that one is a mathematics book and one is an English book?
8. The probability that event A occurs is 0.5, the probability that even B occurs is 0.3 and the probability that both occur
is 0.11. What is the probability that event A or event B will occur?
9. The probability that event A occurs is 0.5, the probability that even B occurs is 0.3. If A and B are independent events,
then what is the probability that event A or event B will occur?
10. The probability that event A occurs is 0.5, the probability that even B occurs is 0.3. If A and B are mutually exclusive
events, then what is the probability that event A or event B will occur?