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IM3 Probability Test Review

Total questions: 25

Worksheet time: 4hrs 5mins

Name
Class
Date
1.
What is the probability of spinning green?
a)
0
b)
1/4
c)
1/2
d)
3/4
2.

You flip a nickel three times.

Find the probability that all flips will land on tails.

a)

1/2

b)

1/4

c)

1/6

d)

1/8

3.
How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?
a)
15
b)
40
c)
80
d)
10
4.

At a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?

a)

180

b)

23

c)

12

d)

60

5.

Find the probability that the roll of a fair, six-sided die will show 4 or 5.

a)

1/3

b)

2/3

c)

5/6

d)

2

6.

The sample space is the set of all possible ____________________ of a trial.

a)

outcomes

b)

Events

c)

probabilities

d)

experiments

7.
The letters that form the word ALGEBRA are placed in a bowl. What is the probability of choosing a letter other than “A”? 
a)
2/7
b)
5/49
c)
5/7
d)
10/49
8.

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%

9.
A bag has 3 red marbles, 2 blue and 4 yellow. What is the theoretical probability of pulling a red?
a)
3/10
b)
3/9
c)
1/9
d)
1/3
10.
Suppose you pay $1.00 to roll a fair die with the understanding you will get $3.00 back rolling a 4 or a 2, and nothing otherwise.  What is the expected amount you win?
a)
$0.00
b)
-$1.00
c)
$1.00
d)
$3.00
11.
You pick a card from a deck.  If you get a face card, you win $5.  If you get an ace, you win $30 plus an extra $60 for the ace of hearts.  For any other card you win nothing. Find the expected value you will win.
a)
$5.00
b)
$3.85
c)
$4.04
d)
$4.62
12.
A student group sells 500 raffle tickets for $2 each. At the drawing the top prize will be a gift certificate for $100. Second prize will be a $50 gift card and there will be five 3rd prizes, each a $20 gift card. What is the expected value of a ticket?
a)
lose an average of $5.50
b)
lose an average of $1.50
c)
win an average of $2.00
d)
lose an average of $10.00
13.
A game consists of rolling a colored die with three red sides, two green sides, and one blue side. A roll of a red loses. A roll of green pays $2.00. A roll of blue pays $5.00.   The charge to play the game is $2.00. What is the expected value
a)
$0
b)
-$0.50
c)
$.67
d)
$-1.50
14.
A coin is flipped 3 times. If you get tails once you get $5, tails twice you get $15, and tails on all three flips you get $40. What is the expected amount of money you will get?
a)
$12.50
b)
$5
c)
$7.50
d)
$10
15.
A student group sells 500 raffle tickets for $2 each. At the drawing the top prize will be a gift certificate for $100. Second prize will be a $50 gift card and there will be five 3rd prizes, each a $20 gift card. What is the expected value of a ticket?
a)
lose an average of $5.50
b)
lose an average of $1.50
c)
win an average of $2.00
d)
lose an average of $10.00
16.

What is the variance for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

a)

47.49

b)

102.01

c)

52.77

d)

81

17.
What is the standard deviation for the data given:
5, 10, 7, 12, 0, 20, 15, 22, 8, 2
a)
6.89
b)
10.1
c)
7.26
d)
9
18.
What is the standard deviation for the data given:
{12, 13, 29, 18, 61, 35, 21}
a)
293.67
b)
15.87
c)
17.14
d)
41.98
19.
Which of the following is the mean absolute deviation for the set of data?
2.50 3.75 1.25 2.25 3.00
a)
3.3
b)
0.66
c)
2.50
d)
2.55
20.
Find the MAD:
58, 38, 54, 48, 26, 36
a)
43
b)
20
c)
10
d)
12
21.
Find the MAD for the following set: 85, 90, 68, 75, 79
a)
79.4
b)
6.48
c)
32.4
d)
79
22.

A basketball player has made 80%, of his foul shots during the season.

Assuming the shots are independent, find the probability that in tonight's game he misses for the first time on his fifth foul shot

a)

0.00128

b)

0.0198

c)

0.08192

d)

0.0128

23.

In a game of chess against a particular opponent, the probability that Bakbergen wins is 0.6

He plays 6 games against his opponent. What is the probability that Bakbergen will win exactly four games ?

a)

0.043008

b)

0.31104

c)

0.020736

d)

0.13824

24.

In a game of chess against a particular opponent, the probability that Bakbergen wins is 0.6

He plays 6 games against his opponent. What is the probability that Bakbergen will lose at least four games?

a)

0.036864

b)

0.004096

c)

0.1792

d)

0.13824

25.
A test consists of 10 true/false questions.  If a student guesses on each question, what is the probability that the student will answer at least 9 questions correctly?
a)
0.011
b)
0.999
c)
0.001
d)
0.9

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