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Probability TEST Review

Total questions: 22

Worksheet time: 23mins

Name
Class
Date
1.

The library labels each book with a 5 digit code to identify the book in their computer system. Each code is 3 digits followed by 2 letters. How many codes are possible?

a)

468

b)

492,804

c)

527,000

d)

676,000

2.

A coach needs to choose two players from the baseball team to be captain and assistant captain. If there are 20 players on the team, how many ways can he assign the two roles?

a)

100

b)

190

c)

380

d)

450

3.

A month of the year is selected at random. What is the probability that it has 31 days or starts with the letter A?

a)

1/6

b)

7/12

c)

3/4

d)

2/3

4.

Sweet Frogs Frozen Yogurt has 12 different toppings to choose from. If they add two new toppings, how many more ways can Bob choose three toppings?

a)

220

b)

144

c)

364

d)

Swee864

5.

A card is selected at random from a standard deck of playing cards. What is the probability that it is not a face card?

a)

3/13

b)

10/13

c)

4/13

d)

9/13

6.

Two dice are rolled. What is the probability that the sum of the dice is at least 5, given that one die is showing a 2?

a)

1/2

b)

1/6

c)

2/3

d)

1/3

7.

A basket contains 8 oranges, 11 apples, 5 bananas, and 12 grapefruit. Janes randomly chooses a piece of fruit, eats it, then selects another. Find the probability of choosing two grapefruit.

a)

1/9

b)

4/35

c)

11/105

d)

68/105

8.

Out of a group of 120 students that were surveyed about water ports, 28 said they water ski and 52 said they wakeboard. Sixteen of the students who said they ski said they also wakeboard. If a student is chosen at random, find the probability that the student water skis given that they do not wakeboard.

a)

3/17

b)

3/7

c)

7/17

d)

3/13

9.

A die is rolled then a letter in the word STATISTICS is randomly selected. What is the probability of at least a three, then the letter T?

a)

1/5

b)

3/20

c)

1/4

d)

29/30

10.

A test has 25 multiple choice questions with 4 answer choices each. Which expression represents the total number of ways to answer the questions?

a)

425

b)

254

c)

25 P 4

d)

4(25)

11.
What is the probability that the spinner will land on a pink sector?
a)
26%
b)
25%
c)
28%
d)
32%
12.
P(Black bullseye)
a)
4.9%
b)
55.6%
c)
24.7%
d)
80.3%
13.
Find the probability that a point K selected randomly on AE , is on AC. Express your answer as a fraction.
a)
1/2
b)
3/4
c)
5/8
d)
3/8
14.
A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?
a)
3
b)
1/10
c)
3/10
d)
30%
15.
The letters that form the word MATHEMATICS are placed in a bowl. What is the probability of choosing a letter that is a vowel?
a)
8/121
b)
4/11
c)
2/11
d)
4/121
16.
A team of 8 basketball players needs to choose a captain and co-captain.
a)
64
b)
56
c)
15
d)
40,320
17.
A restaurant offers four sizes of pizza, two types of crust, and eight toppings. How many possible combinations of pizza with one topping are there? 
a)
64
b)
14
c)
24,024
d)
2184
18.
When does the order in which you are choose matter?
a)
Combination
b)
Permutation
19.
When does the order in which you are choose not matter?
a)
Combiniation
b)
Permutation
20.
What is the probability that a female is chosen given they like a Toyota? 
a)
.525
b)
.4627
c)
.6774
d)
.3143
21.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement.P(both marbles are purple)
a)
2/9
b)
1/3
c)
1/2
d)
1/4
22.
P(not A) = 
*Remember to simplify.*
a)
6/8
b)
3/4
c)
2/8
d)
1/4