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Probability and Counting

Total questions: 17

Worksheet time: 27mins

Name
Class
Date
1.

The spinner is spun once. What is the probability the result will be a consonant?

a)

6/8

b)

2/8

c)

4/8

d)

7/8

2.

A box contains 6 yellow, 2 black and 4 green pencils.

What is the probability of pulling a SECOND GREEN pencil (if the first one was green and was not put back)?

a)

2/11

b)

3/12

c)

2/12

d)

3/11

3.

A box contains 6 yellow, 2 black and 4 green pencils.

What is the probability of pulling a SECOND YELLOW pencil (if the first one was yellow and put back)?

a)

6/11

b)

5/12

c)

6/12

d)

5/11

4.

You have 30% chance of pulling a red gummy bear out of a bag.

What is the probability you will not pull a red gummy on your first pull?

a)

3/10

b)

1/2

c)

7/10

d)

2/3

5.

What is the probability that the spinner will land on a 5?

a)

5/12

b)

6/12

c)

3/12

d)

4/12

6.

A spinner is divided into 52 equal sectors: 8 blue, 24 red and 20 green.

If you throw a dart, what is the probability that the dart hits a sector that is not blue? The answer is simplified

a)

7/26

b)

6/13

c)

5/13

d)

11/13

7.

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

a)

14\frac{1}{4}  

b)

12\frac{1}{2}  

c)

113\frac{1}{13}  

d)

152\frac{1}{52}  

8.

The data in the table represent the number of consumer complaints against major U.S. airlines. If one complaint from the table is randomly selected, find the probability that it was filed against United Airlines.

Airline Number of Complaints

United 1172

Northwest 765

Continental 563

a)

7651172\frac{765}{1172}

b)

11722500\frac{1172}{2500}

c)

1172765\frac{1172}{765}

d)

11721328\frac{1172}{1328}

9.

Identify the sample space of the probability experiment: determining the children's gender for a family of three children (Use B for boy and G for girl.) How many are the sample space.

a)

9

b)

8

c)

7

d)

6

10.

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 an even number.

a)

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

b)

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

c)

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

d)

3; Simple event because the die is only rolled once

11.

Use the fundamental counting principle to solve the problem.

How many different codes of 4 digits are possible if the first digit must be 3, 4, or 5 and if the code may not end in 0?

a)

2999

b)

300

c)

3000

d)

2700

12.

Classify the statement as an example of classical probability, empirical probability, or subjective probability. The probability that it will rain tomorrow is 21%.

a)

classical

b)

empirical

c)

subjective

d)

none of these above

13.

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 not replaced before the second card is drawn.

a)

independent

b)

dependent

c)

Can't be determined

14.

A group of students were asked if they carry a credit card. The responses are listed in the table.

Class; Credit Card Carrier; Not a Credit Card Carrier; Total


Freshman; 45; 15; 60

Sophomore; 32; 8; 40

Total; 77; 23; 100


If a student is selected at random, find the probability that he or she owns a credit card given that the student is a freshman. Round your answer to three decimal places.

a)

0.250

b)

0.450

c)

0.584

d)

0.750

15.

You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first card is a two and the second card is a ten. Round your answer to three decimal places.

a)

0.500

b)

0.006

c)

0.250

d)

0.994

16.

A multiple-choice test has five questions, each with five choices for the answer. Only one of the choices is correct, 20%. You randomly guess the answer to each question. What is the probability that you answer all five questions correctly?

a)

0.00032

b)

0.00016

c)

0.00061

d)

0.00098

17.

A multiple-choice test has five questions, each with five choices for the answer. Only one of the choices is correct., 20%. You randomly guess the answer to each question. What is the probability that you do not answer any of the questions correctly?

a)

0.67232

b)

0.40960

c)

0.23730

d)

0.32768