Expert answer:Quantitative Literacy and Reasoning
Expert answer:Probability style questions are the focus of these problems.
chapter_7_exam.pdf
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Quantitative Literacy and Reasoning
MTH-1010
College of Southern Maryland
Fall 2017
Chapter 7 Exam
Name:_______________________________________
Date:_____________________
Score: _______/100
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are immediate failure of the exam and being reported to the Vice President of Student
and Instructional Support Services for disciplinary action.
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Signature
Question 1 (20 points): Say you flip a fair coin three times, one side is silver (S) and the other
side is gold (G). When you flip a coin, you take note of which side is pointed up – silver or gold.
A. Write all the possible outcomes you can get when flipping a coin three times.
B. Organize the outcomes in Part A into a probability distribution by filling in the table
below. Write the probability as a reduced or simplified fraction (not a decimal).
Number of times GOLD comes up
(when flipping three times)
Probability
C. Find the probability that when you flip a coin three times, you get GOLD to come up
exactly TWO times.
D. Find the probability that when you flip a coin three times, you get GOLD to come up
at least two times. Show all relevant work (not just the answer). Write your final
answer as a reduced or simplified fraction (not a decimal).
Question 2 (20 points): Determine if the problem represents a dependent, an independent, a
non-overlapping, or an overlapping situation. Then calculate the probabilities for each
problem. Show all relevant work in the space below each problem and write your final answer
in the blank provided as a reduced or simplified fraction (not a decimal).
A. Discovering that your three best friends all have a birthday in February (exclude leap
year).
SITUATION:______________________________
FINAL ANSWER:___________
B. Randomly drawing and immediately eating three blue M&Ms in a row from a bag
that contains 7 blue M&Ms out of 60 M&Ms total.
SITUATION:______________________________
FINAL ANSWER:___________
C. Drawing either a red Queen or a black Ace on one draw from a regular deck of cards.
SITUATION:______________________________
FINAL ANSWER:___________
D. Drawing either a “3” or a club card from a regular deck of cards.
SITUATION:______________________________
FINAL ANSWER:___________
Question 3 (20 points): Determine if the problem represents a permutation, a combination, or
arrangements with repetition. Then find the total number of ways for each problem. Show all
relevant work in the space below each problem, including whatever you enter into your
calculator, and write your final answer in the blank provided.
A. The debate club has 15 members, but only 4 can compete at the next meet. How
many 4-person teams are possible?
COUNTING METHOD:___________________________ FINAL ANSWER:___________
B. A recording engineer wants to make a Spotify playlist with 10 songs. In how many
different ways can the playlist be made? Hint! As with all playlists, order matters.
COUNTING METHOD:___________________________ FINAL ANSWER:___________
C. How many license plates can be made of the form XXX-YYY, where X is a letter of the
alphabet and Y is a numeral 0-9?
COUNTING METHOD:___________________________ FINAL ANSWER:___________
D. How many different telephone numbers of the form aaa-bbb-cccc can be formed if
the area code aaa cannot contain a 0?
COUNTING METHOD:___________________________ FINAL ANSWER:___________
Question 4 (10 points): An insurance policy sells for $1500. Based on past data, an average of 1
in 50 policyholders will file a $7,500 claim, an average of 1 in 100 policyholders will file a
$15,000 claim, and an average of 1 in 250 policyholders will file a $45,000 claim.
A. Calculate the expected value. Show all relevant work.
B. If the company sells 10,000 policies, what is the expected profit or loss? Show all
relevant work. Write your answer in a complete sentence in the context of the
problem and round appropriately.
Question 5 (15 points): The following table gives the gender and political party of the 100
delegates at a political convention.
Republicans
Democrats
Independents
Women
21
25
6
Men
28
16
4
Suppose you encounter a delegate a random…
A. What is the probability that you meet a woman? Show all relevant work and leave
your final answer as a reduced or simplified fraction (not a decimal).
B. What is the probability that you meet a Republican woman? Leave your final
answer as a reduced or simplified fraction (not a decimal).
C. What is the probability that you meet someone who is NOT a Democrat? Show all
relevant work and leave your final answer as a reduced or simplified fraction (not a
decimal).
Question 6 (15 points – 5 points each): For each statement below, decide whether it makes
sense or does not make sense. Give a reason to support your answer using complete
sentences.
A. Someone wins the lottery every week, so I figure that if I keep playing eventually I
will be the one who wins.
B. The probability of getting heads AND tails when you toss a coin is 0.
C. You toss a coin 100 times and get only 12 heads. The coin must be unfair
(weighted).
…
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