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Accel Adv Alg U2 Probability Review

Total questions: 89

Worksheet time: 5hrs 47mins

Name
Class
Date
1.
A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. P(purple then black)
a)
1/18
b)
2/5
c)
3/7
d)
4/9
2.
a)
.2855
b)
.6246
c)
.0922
d)
.3230
3.

The probability of a New York teenager owning a skateboard is 0.37, of owning a bicycle is 0.81 and of owning both is 0.36. If a New York teenager is chosen at random, what is the probability that the teenager owns a skateboard or a bicycle?

a)

1.18

b)

0.7

c)

0.82

d)

None of the above

4.
What is the probability that the person picked will be a boy given they speak german? 
a)
.7273
b)
.4
c)
.16
d)
.22
5.
What is the probability that the person picked will be a boy given they speak german? 
a)
.7273
b)
.4
c)
.16
d)
.22
6.
What is the probability that a female is chosen given they like a Toyota? 
a)
.525
b)
.4627
c)
.6774
d)
.3143
7.
What is the probability that they speak French given that they are a girl? 
a)
2.14
b)
.24
c)
.4
d)
.8571
8.
What is the probability that a student plays an instrument?
a)
.55
b)
.5
c)
.45
d)
.4
9.
A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(1st orange then green)
a)
1/15
b)
2/15
c)
3/31
d)
1/5
10.
A die is rolled once.  What is the probability of rolling a 5? Your answer should be a fraction in simplest form.
a)
1/6
b)
1/3
c)
2/5
d)
5/6
11.
A die is rolled once.  What is the probability of rolling an odd number? Your answer should be a fraction in simplest form.
a)
1/6
b)
1/2
c)
3/6
d)
2/5
12.
A die is rolled once.  What is the probability of rolling a 5 or a 6? Your answer should be a fraction in simplest form.
a)
5/6
b)
2/6
c)
1/3
d)
1/5
13.
A die is rolled once.  What is the probability of rolling a number less than 3? Your answer should be a fraction in simplest form.
a)
1/3
b)
2/6
c)
3/6
d)
1/6
14.
A die is rolled once.  What is the probability of rolling a number less than 1? Your answer should be a fraction in simplest form.
a)
1/6
b)
0
c)
5/6
d)
1/3
15.
A die is rolled once.  What is the probability of rolling NOT a 4? Your answer should be a fraction in simplest form.
a)
4/6
b)
1/6
c)
1/5
d)
5/6
16.
A die is rolled once.  What is the probability of rolling a 2, 3, or 4? Your answer should be a fraction in simplest form.
a)
3/6
b)
4/6
c)
1/2
d)
1/5
17.

Is the event INDEPENDENT or DEPENDENT?

Amy plays card games. She picks a card at random. Then without putting the first card back, she picks a second card at random.

a)

Independent

b)

Dependent

18.
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%
19.
Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies? 
a)
27/40
b)
1.48
c)
.008
d)
.0593
20.
What is the probability that the person picked will be a boy given they speak german? 
a)
.7273
b)
.4
c)
.16
d)
.22
21.
What is the probability that a student does play a sport given they do not play an instrument? 
a)
.2
b)
.2222
c)
.10
d)
.5
22.

What is the probability that a student plays on a sports team given they play an instrument?

a)

.7273

b)

.8

c)

.55

d)

.2222

23.
find the probability of choosing a student at random that plays an instrument OR a sport
a)
1/2
b)
13/20
c)
21/20
d)
4/5
24.
Which of the following shows how to determine P(packers or male)?
a)
75/150 + 90/150 - 50/150
b)
75/150 + 35/150 - 25/150
c)
50/150 + 40/150 + 25/150
d)
90/150 + 50/150 - 75/150
25.

Are the events "Sports" and "Community Service" independent?

a)

Yes, because P(S) is the same as P(S|CS).

b)

No, because P(S) is not the same as P(S|CS).

c)

Yes, because P(S) is the same as P(CS|S).

d)

No, because P(S) is not the same as P(CS|S).

26.
P(Sandals|Pants):
a)
4/20
b)
6/15
c)
1/2
d)
2/7
27.

Determine if the events A and B are independent or dependent. P(A) = .36, P(B) = .20, P (A and B) = 0.072

a)

Dependent

b)

Independent

c)

Neither

28.

Suppose the P(A) = .55, P(B) = .30 and P(A and B) = .12, find P(A or B).

a)

0.85

b)

0.165

c)

0.12

d)

0.73

29.

Find P(Sophomore U Pass)

a)

53/60

b)

70/60

c)

5/6

30.

If A and B are independent, which statement must be true?

a)

P(A∩B) = 0

b)

P(A|B) = P(A)

c)

P(A∪B) = 0

d)

P(A) + P(B) = 1

31.
How many ways can a club select a president, vice president, and a secretary from a group of 5 people?
a)
12
b)
60
c)
15
32.
How many ways can you listen to 3 songs from a CD that has 12 selections?
a)
1320
b)
33
c)
36
33.

Homecoming has 7 candidates for King. How many ways can a King and a First Runner-up be chosen to form the Festival Court?

a)

23

b)

840

c)

42

d)

3,628,800

34.
Picking a President, Vice-President, and Secretary from a group of 12.
a)
Permutation
b)
Combination
35.
What is the value of 5!
a)
25
b)
15
c)
120
d)
720
36.
9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1
a)
45
b)
362,880
c)
90
37.
How many ways ways can you arrange the letters in the word math?
a)
15
b)
4
c)
24
38.
What does the P stand for in nPr?
a)
Partners
b)
Positions
c)
Papers
d)
Permutations
39.
7 * 6 * 5 * 4 * 3 * 2 * 1
a)
42
b)
28
c)
5,040
40.
Determine whether the following scenarios are a permutation or a combination:
 
Selecting a lead and an understudy for a school play.
a)
Combination
b)
Permutation
41.
Choosing 3 toppings for your sundae out of a list of 15.
a)
Permutation
b)
Combination
c)
Neither
42.
In how many ways can 3 different vases be arranged on a tray?
 
a)
3
b)
9
c)
6
d)
12
43.
7P2
a)
0
b)
7
c)
42
d)
210
44.
Sarah plays softball over the summer.  If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?
a)
1
b)
3628800
c)
100
d)
1814400
45.

Barry Bonds has a career batting average of .298. What is the probability that he will get 6 hits in his next 10 at-bats?

a)

3.58%

b)

5.46%

c)

22.67%

d)

100%

46.

If you were to flip a coin 20 times, what is the probability you would get exactly 10 heads?

a)

50%

b)

17.62%

c)

58.81%

d)

41.19%

47.
4. When rolling two dice, the probability of rolling doubles is ⅙. Suppose that a game player rolls the dice four times, hoping to roll doubles. Find the probability that the player gets doubles twice in 4 attempts.
a)
88.4%
b)
11.6%
c)
98.4%
d)
1.6%
48.
Which of the following is NOT an assumption of the Binomial distribution?
a)
All trials must be independent.
b)
Each trial must be classified as a success or a failure.
c)
All trials are dependent on each other.
d)
The number of successes in the trials is counted.
49.

When rolling a fair die 100 times, what is the probability of rolling a "4" exactly 25 times?

a)

1.0%

b)

16.7%

c)

25%

d)

2.1%

50.
If you were to flip a coin 20 times, what is the probability you would get at least 13 heads?
a)
94.23%
b)
13.16%
c)
5.77%
d)
7.39%
51.

An algebra 2 test has 6 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 6 questions, what is the probability that you get exactly 3 questions correct? (You need to figure out the p value first. It is not given to you.)

a)

96.2%

b)

13.2%

c)

8.31%

d)

25.0

52.

A quarterback has a passing percentage of 70%. What is the probability that he does NOT complete 8 of his 20 passes?

a)

11.44%

b)

12.45%

c)

54%

d)

12.34%

53.
A coin is tossed ten times.  What is the probability that there are exactly 6 heads?
a)
20.51%
b)
90%
c)
45.68%
d)
34.65%
54.

Let n = 20, q = .6, Find the probability of 12 successes.

a)

3.55%

b)

35.55%

c)

24%

d)

12.90%

55.

What does the n stand for in the binomial probability formula?

a)

Number of trials

b)

Number of Successes

c)

Probability of Successes

d)

Probability of Failures

56.

What does the x stand for in the binomial probability formula?

a)

Number of trials

b)

Number of Successes

c)

Probability of Successes

d)

Probability of Failures

57.

What does the p stand for in the binomial probability formula?

a)

Number of trials

b)

Number of Successes

c)

Probability of Successes

d)

Probability of Failures

58.

What does the q stand for in the binomial probability formula?

a)

Number of trials

b)

Number of Successes

c)

Probability of Successes

d)

Probability of Failures

59.

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Do not replace the card. Repeat the process 5 times. Let x = the card you observe.

a)

Yes

b)

No, the trials are not independent.

c)

No, there are more than 2 outcomes.

60.

Is this binomial experiment? Shuffle a deck of 52 cards. Turn over the top card. Put the card back in the deck, shuffle again. Repeat the process 50 times. Let x = the number of aces you observe.

a)

Yes

b)

No, the trials are not independent.

c)

No, there are more than 2 outcomes.

61.

A survey found that 25% of pet owners had their pets bathed professionally rather than do it themselves. If 18 pet owners are randomly selected, find the probability that exactly 5 people have their pets bathed professionally.

a)

3.42

b)

1.03

c)

0.072

d)

0.199

62.
An algebra 2 test has 5 multiple choice questions with four choices with one correct answer each. If we just randomly guess on each of the 5 questions, what is the probability that you get at least 1 question correct?
a)
0.2373
b)
0.3955
c)
0.7627
d)
0.6045
63.

Which descriptions are true for a binomial distribution? Select all that apply.

a)

The probability of success must be the same for each event.

b)

The probability for each event must be 0.5.

c)

There can be only two possible outcomes - success and failure.

d)

The probabilities must add to 1.

e)

Each trial must be independent.

64.

Which of the following could be examples of binomial probabilities? (Select all that apply.)

a)

P(success) = 0.99, P(failure) = 0.01

b)

P(A) = 0.4, P(B) = 0.4

c)

P(A )= 1/3, P(B) = 1/3, P(C) = 1/3

d)

P(3) = 1/6, P(not 3) = 5/6

65.
Choose an American household at random. What is the expected number of cars for that household?
a)
1.75
b)
1.84
c)
2.00
d)
2.50
66.
In a certain community, 30% of households have 1 child, 43% have 2 children, and 27% have 3 children. If a household is selected at random, what is the expected number of children in that household? HINT: A Probability table may be helpful.
a)
2.00
b)
2.13
c)
1.97
d)
1.27
67.
Find the expected value. READ CAREFULLY!
a)
4.5
b)
25.5
c)
3.825
d)
6.52
68.
Which option gives the greatest Return on Investment?
a)
Option I
b)
Option II
c)
Option III
d)
It doesn't make a difference
69.
Find the expected value
a)
Loss of $0.875
b)
Loss of $2.125
c)
Win of $1.875
d)
Win of $3.125
70.
A car dealer buys hybrids for $21,000 each and sells them for $24,500 each. Find his expected weekly profit.
a)
$2,380
b)
$5,355
c)
$8,109
d)
$37,485
71.
HINT: Read carefully! And think about the TOTAL amount of money being gained or lost in each situation!
a)
$275
b)
$625
c)
$2,750
d)
$6,250
72.
a)
0.45
b)
0.65
c)
1.00
d)
1.44
73.
a)
Box A
b)
Box B
c)
Box A or B, but not C
d)
All boxes offer the same expected winnings
74.
a)
31.7
b)
34.1
c)
63.4
d)
68.2
75.
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
76.

What is the probability that you will get plain crust with ham on your pizza?

a)

1/8

b)

1/2

c)

1/10

d)

2/10

77.

Jason can choose 1 pair of pants and one shirt to wear today. Here are his choices. Which tree diagram shows all of the combinations that Jason can choose from?

a)
b)
c)
d)
78.

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability both are odd?

a)

1/4

b)

1/2

c)

2/4

d)

3/4

79.

Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability that one is even and one is odd?

a)

1/2

b)

1/4

c)

3/4

d)

1/3

80.

Jim and Sue each take a driving test.


The probability that Jim will pass the driving test is 0.7

What is the probability he fails the test?

(a)  

81.

Jim and Sue each take a driving test.


The probability that Sue will pass the driving test is 0.6

What is the probability he fails the test?

(a)  

82.

Jim and Sue each take a driving test.


What is the probability that both Jim and Sue pass the test?

(a)  

83.

Jim and Sue each take a driving test.


What is the probability that only one of them will pass the test?

(a)  

84.

If Jane plays two games of chess, what is the probability that she wins both games?

(a)  

85.
P(1 and A)
a)
1/16
b)
1/10
c)
4/16
d)
1/4
86.
P(odd and A)
a)
1/4
b)
1/2
c)
2/5
d)
1/8
87.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of the value marked y

a)

7/10

b)

3/10

c)

6/9

d)

2/9

88.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of the value marked w

a)

7/10

b)

3/10

c)

6/9

d)

2/9

89.

There are 10 counters in a bag, 3 red and 7 blue.


I take one counter, then another without replacement.

Find the probability of the value marked x

a)

7/10

b)

3/10

c)

6/9

d)

2/9

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