AMDM Unit 2: Calculating Probabilities
Name ___________________________________
Test 2 Review
Draw a Venn diagram for the following scenario:
There are 120 students in the 9th grade. 60 are taking Math. 40 are taking English. 25 take both Math and
English.
1. How many students are taking Math ONLY?
2. How many students are taking English ONLY?
3. P(students is in math and English)
4. P(student in math)
5. P(student in English only)
6. P(student is in neither subject)
A pizza place surveyed 100 customers to determine their favorite pizza topping or combination of toppings. The
results are shown below.
Mushrooms
3022
5
32
Pepperoni
1.
2.
3.
4.
5.
7
3
6
25
Sausage
P(sausage)
P(pepperoni and mushrooms)
P(no mushrooms)
P(mushrooms or sausage)
P(sausage, given that it already has pepperoni)
You go to a restaurant where you are able to create your own sandwich. The table below represents all the
possible choices to create your ideal salad.
Bread
White (0.5)
Wheat (0.4)
Italian (0.1)
Meat
Ham (0.3)
Turkey (0.7)
Cheese
American (0.8)
Swiss (0.1)
Meunster (0.1)
Sides
Mustard (0.5)
Mayonnaise (0.5)
1. How many combinations would there be if you ordered white bread, with ham, any cheese, and any side?
2. How many total possible combinations of sandwiches are there?
3. If you take away the sides, how many total possible combinations are there?
4. Create a tree diagram illustrating all the possible sandwiches that can be made.
5. What is the probability of creating a sandwich with white bread, ham or turkey, American cheese, and
mustard/mayo?
6. What is the probability that you create a sandwich with wheat and turkey?
7. What is the probability that you create a sandwich with Italian or white, ham or turkey, and mayo?
8. What is the probability that you create a sandwich with wheat, ham or turkey, Meunster cheese?
Picking classes
Create a table showing the following teacher schedules for math teachers:
Jones- 1st, 2nd, 3rd, 6th, 7th
Fowler - 3rd, 4th, 5th, 6th, 8th
Williams- 1st, 2nd, 6th, 7th
Miller - 3rd, 4th, 7th, 8th
Morning classes will be 1st -5th Afternoon classes 6th-8th
1. What is the probability of getting a morning class?
2. Before deciding on a morning or afternoon class, Lisa remembered she wants to take her math class
during 2nd period. What is the probability she will be scheduled a math class during this time?
3. All of the morning math classes are filled & Lisa has a decision to take either Mrs. Fowler or Mr. Williams
in the afternoon, what is the probability of Lisa taking a Mrs. Fowler or Mr. Williams in the afternoon?
4. Lisa’s school counselor informs her all of Mrs. Fowlers classes are filled. The school adds another teacher
Mrs. Jackson. She will teach (1st, 3rd, 5th, and 6th). What is now the probability of getting Mrs. Jackson for
math in the morning?
Expected Value:
1. To win a “stuffed unicorn” you have to hit the target 5 times in a row. You hit the target 75% of the time.
What is the probability that you will get the unicorn…..”it’s so fluffy!”
A baseball toss game has the following rules:
 You get 3 baseballs to throw into the strike zone.
 If you make 3 successful tosses, then you win a large prize.
 If you make 2 successful tosses, then you win a medium prize.
 If you make 1 successful tosses, then you win a small prize.
 If you make 0 successful tosses, then you do not win a prize.
 It costs $2 to play (3 throws).
2.
What is the probability of each outcome?
a. 3 successful tosses?
b. 2 successful tosses?
c. 1 successful toss?
d. 0 successful tosses?
3. If 150 people play the game, how many of each prize (small, medium, and large) should you expect to give
away?
a. Small prizes?
b. Medium prizes?
c. Large prizes?
4. If a small prize costs $0.75, a medium prize cost $1, and a large prize costs $4, how much profit would you
expect the game to make from the 150 players?
Review from Tests 1-2B:
1.
How many phone numbers are possible in the (770) area code for the form ABC-XXXX if:
A is restricted to 1-9, B is restricted to 4-9, but C and X can be any digit 0-9
2.
A crowd standing along a parade route is 5 feet deep and 1 mile long on both sides of the street. If each person
occupies 2.5 square feet, estimate the size of the crowd watching the parade.
3. Is the following a valid UPC code: 0 88085 10811 5
4. Change the check digit to make the following UPC code valid: 0 37849 89240 2
  120
5.
Find a positive and negative coterminal angle for
6.
Find the sin  , cos  , tan  for the given triangle.
5
5
7.
13

A tree casts a shadow that is 12 feet long. The angle of elevation to the top of the tree is
65 . How tall is the tree?
8. Find the tan 225
9. Find the sin 60
10. Find the cos300
11. Describe the shifts in the graph with respect to y = sin x or y = cos x :
f ( x)  sin( x  90)  5
a.
b.
f ( x)  cos( x  120)  3
12. Which of the following equations matches the graph.
90
210
a.
f ( x )  4cos 2  x  30
a. f ( x )  3sin 3  x  110  2
b.
f ( x )  4cos 3  x  90
b. f ( x )  2sin2  x  90  2
c.
f ( x )  4sin 3x 
c.
d.
f ( x )  4sin2  x  30
f ( x )  3sin (3x )  1