Free Printable 10-10 Review - 3.1

1.

A study of 1000 randomly selected flights of a major airline showed that 798 of the flights arrived on time. What is the probability of a flight arriving on time?

a)

0.399

b)

0.798

c)

0.202

d)

0.876

2.

If one card is drawn from a standard deck of 52 playing cards, what is the probability of drawing a heart?

a)

$\frac{1}{4}$

b)

$\frac{1}{2}$

c)

$\frac{3}{4}$

d)

$1$

3.

The distribution of blood types for 100 Americans is listed in the table. If one donor is selected at random, find the probability of not selecting a person with blood type B+.

a)

0.12

b)

0.82

c)

0.90

d)

0.10

4.

The distribution of Masterʹs degrees conferred by a university is listed in the table.

What is the probability that a randomly selected student graduating with a Masterʹs degree has a major of Education? Round your answer to three decimal places.

a)

0.390

b)

0.002

c)

0.724

d)

0.280

5.

The distribution of Masterʹs degrees conferred by a university is listed in the table.

Find the probability of randomly choosing a person graduating with a Masterʹs degree who did not major in Mathematics. Round your answer to three decimal places.

a)

0.230

b)

0.970

c)

0.773

d)

0.280

6.

Identify the sample space of the probability experiment: answering a multiple choice question with A, B, C, and D as the possible answers.

a)

$\left\{1,\ 2,\ 3,\ 4\right\}$

b)

$\left\{A,\ B,\ C,\ D\right\}$

c)

$\left\{W,\ X,\ Y,\ Z\right\}$

7.

Identify the sample space of the probability experiment: answering a true or false question.

a)

$\left\{A,\ B\right\}$

b)

$\left\{true,\ false\right\}$

c)

$\left\{X,\ Y\right\}$

d)

$\left\{1,\ 2\right\}$

8.

Determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your reasoning.

A computer is used to randomly select a number between 1 and 1000. Event A is selecting a number greater than 600.

a)

400; Not a simple event because it is an event that consists of more than a single outcome.

b)

1; Simple event because it is an event that consists of a single outcome.

c)

600; Not a simple event because it is an event that consists of more than a single outcome.

d)

400; Simple event because only one number is selected.

9.

Determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your reasoning.

You roll a six-sided die. Event B is rolling a 5.

a)

1; Simple event because it is an event that consists of a single outcome.

b)

1; Not a simple event because it is an event that consists of more than a single outcome.

c)

5; Simple event because the die is only rolled once.

d)

5; Not a simple event because it is an event that consists of more than a single outcome.

10.

Classify the events as dependent or independent.

The events of getting two aces when two cards are drawn from a deck of playing cards and the first card is replaced before the second card is drawn.

a)

independent events

b)

dependent events

11.

Classify the events as dependent or independent.

Event A: A red candy is selected from a package with 30 colored candies and eaten.

Event B: A blue candy is selected from the same package and eaten.

a)

independent events

b)

dependent events

12.

Find the probability of getting 2 consecutive aces when 2 cards are drawn without replacement from a standard deck of 52 playing cards.

a)

0.006

b)

0.005

c)

0.308

d)

0.231

13.

Find the probability of answering two true or false questions correctly if random guesses are made. Only one of the choices is correct.

a)

0.5

b)

0.25

c)

0.75

d)

1

14.

The distribution of Masterʹs degrees conferred by a university is listed in the table. Assume that a student majors in only one subject.

What is the probability that a randomly selected student with a Masterʹs degree majored in Education or Engineering? Round your answer to three decimal places.

(Hint: OR uses Addition Rule)

a)

0.371

b)

0.227

c)

0.090

d)

0.322

15.

In the Venn diagram above, event A represents the adults who drink coffee, event B represents the adults who drink tea, and event C represents the adults who drink cola. List the region(s) which represent the adults who drink both coffee and tea.

a)

$\left\{5,\ 2\right\}$

b)

$\left\{4,\ 1\right\}$

c)

$\left\{4,\ 1,\ 5,\ 2\right\}$

d)

$\left\{3,\ 7\right\}$

16.

In the Venn diagram above, event A represents the adults who drink coffee, event B represents the adults who drink tea, and event C represents the adults who drink cola. List the region(s) which represent the adults who only drinks cola.

a)

$\left\{5,\ 2\right\}$

b)

$\left\{4,\ 1\right\}$

c)

$\left\{6\right\}$

d)

$\left\{5,\ 2,\ 6\right\}$

17.

The events A and B are mutually exclusive.

If P(A) =0.3 and P(B) =0.6, what is P(A and B)?

(Hint: "AND" uses Multiplication Rule)

a)

0.18

b)

0

c)

0.5

d)

1

18.

The table lists the smoking habits of a group of college students.

If a student is chosen at random, find the probability of getting someone who is a man or a woman. Round your answer to three decimal places.

(Hint: "OR" uses Addition Rule)

a)

1

b)

0.50

c)

0.75

d)

0.40

19.

Decide if the events A and B are mutually exclusive or not mutually exclusive. A person is selected at random.

A: Their birthday is in the fall.

B: Their birthday is in October.

a)

non mutually exclusive

b)

mutually exclusive

20.

Classify the statement as an example of classical probability, empirical probability, or subjective probability. In Californiaʹs Pick Three lottery, a person selects a 3-digit number. The probability of winning Californiaʹs Pick Three lottery is $\frac{1}{1000}.$

a)

subjective probability

b)

empirical probability

c)

classical probability

10-10 Review - 3.1 - 3.3

Total questions: 20

Worksheet time: 5hrs 0mins

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