PreCalculus
Midterm review of Ch 12 and Ch 7
Name:________________________________
Ch 12 Review
1. There are six True-False questions on a quiz. Not knowing any of the answers, a student
guesses randomly. Find the probability of each event.
a.)
b.)
c.)
Exactly two answers are correct
Exactly six answers are correct.
At least five answers are correct.
2. At the Model UN (United Nations) conference seven different flags are hung from the
ceiling. How many ways can the seven flags be arranged?
3. One part of the mathematics final has 20 multiple choice questions with 4 choices for each
question.. Suppose a student has not studied and instead randomly guesses for each of the 20
questions. Find the probability that the student gets every question wrong.
4. Six cars are in a parking lot on a very cold day. Suppose the probability of any one of them
not starting is 0.15. What is the probability that at least 4 do not start?
5. There are 30 TI-83 graphing calculators in a mathematics classroom. Let the probability of
any one of them not working be equal to 30%. What is the probability of exactly 5 not
working?
Use for #6-9
Females Males
Total
Biology
205
185
Chemistry
240
250
Physiology
160
140
Total
Find the following probabilities.
6.
P(female)
7.
P(student takes Chemistry)
8.
P(male or student takes Biology)
9.
P(female and student takes Physiology)
10. A high school assigns a student a four digit identification number using the digits 0
through 9. Digits may be represented, but the first digit may not be 0. How many
students can this system accommodate?
11. During the Adopt – A – Family drive last year a class contributed 6 boxes of donations. How
many ways can you arrange the boxes on the floor? Suppose a family receives 2 boxes of
donations. How many ways can you provide a family with 2 boxes of donations? How are
these two questions different? What are the 2 different ways you solved them? What
determined how you solved the problem?
12. How many six-letter arrangements can be made from the letters in the word
HUSTLE?
Ch 7 Review