Pathways to Math Literacy (Loose Leaf)
1st Edition
ISBN: 9781259218859
Author: David Sobecki Professor, Brian A. Mercer
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 2.6, Problem 10A
To determine
In a provided statement weather inductive or deductive reasoning is used.
The statement ‘Last night while playing black jack, the dealers first card was an ace four times in a row. So I really couldn’t believe it when it happened again on the next hand.’
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Here is the setup for a non-traditional casino game: You draw a card from a well shuffled full deck and if the card is a king you win $100. The game costs $2 to play and you decide to play the game until you win the $100. Each time you draw a card you pay $2, and if the card is not a king, the card is put back in the deck, and the deck is reshuffled. How much money should you expect to spend on this game?
100
4
52
13
26
Suppose you decided to play a gambling game. In order to play the game there is a $1.50 dollar fee to play. If you roll a 1, 2, or 3 you win nothing (i.e., your net profit is $-1.5 dollars). If you roll a 4 or 5, you win $2.50 (i.e., your net profit is $1). If you roll a 6 you win $5.75 (i.e., your net profit is $4.25).a) Use the information described above to constuct a probability distribution table for the random variable xx which represents the net profit of your winnings. Note: Be sure to enter your probabilities as reduced fractions.
xx
P(x)P(x)
(You roll a 1,2,or 3)
(You roll a 1,2, or 3)
(You roll a 4 or 5)
(You roll a 4 or 5)
(You roll a 6)
(You roll a 6)
b) Find the amount you would expect to win or lose each time you played the game. Round your final answer to two decimal places.μ=
Your friend has chosen at random a card from a standard deck of 52
cards but keeps this card concealed. You have to guess what card it is.
Before doing so, you can ask your friend either the question whether the
chosen card is red or the question whether the card is the ace of spades.
Your friend will answer truthfully. What question would you ask? Your
question must be supported by examples
Chapter 2 Solutions
Pathways to Math Literacy (Loose Leaf)
Ch. 2.1 - Prob. 0LOCh. 2.1 - Prob. 1GCh. 2.1 - Prob. 2GCh. 2.1 - Prob. 3GCh. 2.1 - Prob. 4GCh. 2.1 - Prob. 5GCh. 2.1 - Prob. 6GCh. 2.1 - Prob. 7GCh. 2.1 - Prob. 8GCh. 2.1 - Prob. 9G
Ch. 2.1 - Prob. 10GCh. 2.1 - Prob. 11GCh. 2.1 - Prob. 12GCh. 2.1 - Prob. 13GCh. 2.1 - Prob. 14GCh. 2.1 - Prob. 15GCh. 2.1 - Prob. 1CCh. 2.1 - Prob. 2CCh. 2.1 - Prob. 3CCh. 2.1 - Prob. 4CCh. 2.1 - Prob. 5CCh. 2.1 - In many cases, you can use the results of existing...Ch. 2.1 - In many cases, you can use the results of existing...Ch. 2.1 - In many cases, you can use the results of existing...Ch. 2.1 - Prob. 9CCh. 2.1 - Prob. 1RCh. 2.1 - Prob. 2RCh. 2.1 - Prob. 1ACh. 2.1 - Prob. 2ACh. 2.1 - Prob. 3ACh. 2.1 - Prob. 4ACh. 2.1 - Prob. 5ACh. 2.2 - Prob. 0LOCh. 2.2 - Prob. 2GCh. 2.2 - The best gift I got for my birthday last year was...Ch. 2.2 - Prob. 4GCh. 2.2 - Prob. 5GCh. 2.2 - Prob. 6GCh. 2.2 - Prob. 1CCh. 2.2 - Prob. 2CCh. 2.2 - Prob. 3CCh. 2.2 - Prob. 4CCh. 2.2 - Prob. 5CCh. 2.2 - Prob. 6CCh. 2.2 - Prob. 7CCh. 2.2 - Prob. 8CCh. 2.2 - Prob. 9CCh. 2.2 - Prob. 10CCh. 2.2 - Prob. 11CCh. 2.2 - Forensic scientists often examine scaled-up crime...Ch. 2.2 - In the 1984 movie Ghostbusters, a 112.5-foot-tall...Ch. 2.2 - Prob. 3ACh. 2.2 - Prob. 4ACh. 2.2 - Prob. 5ACh. 2.2 - Prob. 6ACh. 2.2 - Prob. 7ACh. 2.2 - For Questions 69, use dimensional analysis with...Ch. 2.2 - For Questions 69, use dimensional analysis with...Ch. 2.3 - Prob. 0LOCh. 2.3 - Prob. 1CCh. 2.3 - Prob. 2CCh. 2.3 - Prob. 3CCh. 2.3 - Prob. 1GCh. 2.3 - Prob. 2GCh. 2.3 - Prob. 3GCh. 2.3 - Prob. 4GCh. 2.3 - Prob. 5GCh. 2.3 - Prob. 6GCh. 2.3 - Prob. 7GCh. 2.3 - Prob. 8GCh. 2.3 - Prob. 9GCh. 2.3 - Prob. 10GCh. 2.3 - Prob. 11GCh. 2.3 - Prob. 12GCh. 2.3 - Prob. 13GCh. 2.3 - Prob. 14GCh. 2.3 - Prob. 15GCh. 2.3 - Prob. 16GCh. 2.3 - Prob. 1ACh. 2.3 - Prob. 2ACh. 2.3 - Prob. 3ACh. 2.3 - Prob. 4ACh. 2.3 - Use your answer to Question 3 and dimensional...Ch. 2.3 - Prob. 6ACh. 2.3 - Prob. 7ACh. 2.3 - Glaciers are large masses of ice that flow like...Ch. 2.3 - Prob. 9ACh. 2.3 - Prob. 10ACh. 2.4 - After reading the opening paragraph, what do you...Ch. 2.4 - Prob. 1CCh. 2.4 - Prob. 2CCh. 2.4 - When asked to compare the sizes of two numbers,...Ch. 2.4 - Prob. 4CCh. 2.4 - Prob. 5CCh. 2.4 - Prob. 1GCh. 2.4 - Prob. 2GCh. 2.4 - Prob. 3GCh. 2.4 - Prob. 4GCh. 2.4 - Prob. 5GCh. 2.4 - Prob. 6GCh. 2.4 - Prob. 7GCh. 2.4 - Prob. 8GCh. 2.4 - Prob. 9GCh. 2.4 - Prob. 10GCh. 2.4 - Name...Ch. 2.4 - Name...Ch. 2.4 - Name...Ch. 2.4 - Prob. 4ACh. 2.4 - Prob. 5ACh. 2.4 - Prob. 6ACh. 2.5 - Prob. 0LOCh. 2.5 - What is a variable?Ch. 2.5 - Prob. 2CCh. 2.5 - Consider the following relationships, where one...Ch. 2.5 - If we wanted to know the cost of a 7-mile cab...Ch. 2.5 - Evaluate the cost formula for m=4, then attach...Ch. 2.5 - Prob. 4GCh. 2.5 - Prob. 5GCh. 2.5 - Prob. 6GCh. 2.5 - Prob. 7GCh. 2.5 - Prob. 8GCh. 2.5 - Prob. 9GCh. 2.5 - Prob. 10GCh. 2.5 - Prob. 11GCh. 2.5 - Next, were going to look at how the types of...Ch. 2.5 - Prob. 13GCh. 2.5 - Prob. 14GCh. 2.5 - Prob. 15GCh. 2.5 - Prob. 16GCh. 2.5 - Type a short answer to each question. What is a...Ch. 2.5 - Type a short answer to each question. When two...Ch. 2.5 - Type a short answer to each question. Describe the...Ch. 2.5 - Type a short answer to each question. How do the...Ch. 2.5 - Prob. 1ACh. 2.5 - Prob. 2ACh. 2.5 - Prob. 3ACh. 2.5 - Prob. 4ACh. 2.5 - Prob. 5ACh. 2.5 - Use the spreadsheet on page 122 to answer the...Ch. 2.5 - Prob. 7ACh. 2.5 - Prob. 8ACh. 2.6 - Prob. 0LOCh. 2.6 - Prob. 1GCh. 2.6 - Prob. 2GCh. 2.6 - Prob. 3GCh. 2.6 - Prob. 4GCh. 2.6 - Prob. 5GCh. 2.6 - Prob. 6GCh. 2.6 - Prob. 7GCh. 2.6 - Prob. 8GCh. 2.6 - Prob. 9GCh. 2.6 - Prob. 10GCh. 2.6 - Prob. 1CCh. 2.6 - Prob. 2CCh. 2.6 - Prob. 3CCh. 2.6 - Prob. 4CCh. 2.6 - This is where deductive reasoning comes into play....Ch. 2.6 - Pretend that youre one of the nine justices: how...Ch. 2.6 - Prob. 8CCh. 2.6 - Prob. 9CCh. 2.6 - Prob. 10CCh. 2.6 - Prob. 11CCh. 2.6 - Prob. 12CCh. 2.6 - Prob. 13CCh. 2.6 - Prob. 14CCh. 2.6 - Prob. 15CCh. 2.6 - Prob. 1ACh. 2.6 - Prob. 2ACh. 2.6 - Prob. 3ACh. 2.6 - Prob. 4ACh. 2.6 - Prob. 5ACh. 2.6 - Prob. 6ACh. 2.6 - Prob. 7ACh. 2.6 - Prob. 8ACh. 2.6 - Prob. 9ACh. 2.6 - Prob. 10ACh. 2.7 - After reading the opening paragraph, what do you...Ch. 2.7 - Prob. 1CCh. 2.7 - Prob. 2CCh. 2.7 - When an average-sized person walks at a fairly...Ch. 2.7 - Prob. 1GCh. 2.7 - Prob. 2GCh. 2.7 - Prob. 3GCh. 2.7 - Prob. 4GCh. 2.7 - Prob. 1ACh. 2.7 - Prob. 2ACh. 2.7 - Prob. 3ACh. 2.7 - Prob. 4ACh. 2.8 - Prob. 0LOCh. 2.8 - Prob. 1CCh. 2.8 - Prob. 2CCh. 2.8 - Prob. 1GCh. 2.8 - Prob. 2GCh. 2.8 - Prob. 3GCh. 2.8 - Prob. 4GCh. 2.8 - Prob. 5GCh. 2.8 - Prob. 6GCh. 2.8 - Prob. 7GCh. 2.8 - Prob. 8GCh. 2.8 - Prob. 9GCh. 2.8 - Prob. 10GCh. 2.8 - Prob. 11GCh. 2.8 - Prob. 12GCh. 2.8 - Prob. 1ACh. 2.8 - Prob. 2ACh. 2.8 - Prob. 3ACh. 2.8 - Prob. 4ACh. 2.8 - Prob. 5ACh. 2.8 - Prob. 6ACh. 2.8 - Prob. 7ACh. 2.8 - Prob. 8ACh. 2.8 - Prob. 9ACh. 2.8 - The two tables below display the charges for two...Ch. 2.9 - After reading the opening paragraph, what do you...Ch. 2.9 - Prob. 1GCh. 2.9 - Prob. 2GCh. 2.9 - Prob. 3GCh. 2.9 - Prob. 4GCh. 2.9 - Prob. 5GCh. 2.9 - Prob. 6GCh. 2.9 - We know that the equation 1 min =60 sec is true....Ch. 2.9 - Prob. 8GCh. 2.9 - Prob. 9GCh. 2.9 - Prob. 10GCh. 2.9 - Prob. 11GCh. 2.9 - Prob. 12GCh. 2.9 - Prob. 13GCh. 2.9 - Prob. 14GCh. 2.9 - Prob. 15GCh. 2.9 - Prob. 16GCh. 2.9 - Prob. 17GCh. 2.9 - Prob. 18GCh. 2.9 - Prob. 19GCh. 2.9 - In Group Question 4 of Lesson 1-2, we found that...Ch. 2.9 - Prob. 21GCh. 2.9 - Prob. 22GCh. 2.9 - In the Group portion of Lesson 2-8, you were asked...Ch. 2.9 - Prob. 24GCh. 2.9 - Prob. 25GCh. 2.9 - Prob. 26GCh. 2.9 - Prob. 27GCh. 2.9 - Prob. 28GCh. 2.9 - Prob. 29GCh. 2.9 - Prob. 30GCh. 2.9 - Prob. 31GCh. 2.9 - Prob. 32GCh. 2.9 - Prob. 33GCh. 2.9 - Prob. 34GCh. 2.9 - Prob. 35GCh. 2.9 - Prob. 37GCh. 2.9 - Prob. 38GCh. 2.9 - Prob. 39GCh. 2.9 - Prob. 40GCh. 2.9 - Prob. 1ACh. 2.9 - Prob. 2ACh. 2.9 - Prob. 3ACh. 2.9 - Prob. 4ACh. 2.9 - Prob. 5ACh. 2.9 - Prob. 6ACh. 2.9 - From Lesson 2-7 Group Question 4: 1,000+50x=4,500...Ch. 2.9 - Prob. 8ACh. 2.9 - Prob. 9ACh. 2.9 - Prob. 10ACh. 2.9 - Prob. 11ACh. 2.9 - Prob. 12ACh. 2.9 - Prob. 13A
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- If P(AB)=0.7, is it possible that P(BA)=0.6? Explainarrow_forwardThis problem is courtesy of Mr. Lange’s friend Paul. The Queen of Hearts is a card game played at a local club. Participants purchase raffle tickets at $5 apiece, and one raffle ticket is chosen at random. The participant whose raffle ticket is selected will then select an envelope containing a card from a standard deck with two jokers. If the card selected is between a 2 and a 5 inclusive, the participant collects $20. If the card selected is between a 6 and a 9 inclusive, the participant collects $30. Any ace, 10, jack, or king pays $40, each joker pays $75, and the queens of diamonds, clubs, and spades each pay $100. The queen of hearts pays the jackpot, hence the game’s name. Suppose there are three cards remaining, the queen of hearts, the queen of diamonds, and the queen of clubs. Also suppose the jackpot pays $35000. Mr. Lange wishes to purchase 400 of the 1600 tickets sold in a given night. Answer the following questions: (a) What is the probability that Mr. Lange has the…arrow_forwardSuppose you decided to play a gambling game. In order to play the game there is a $1.00 dollar fee to play. If you roll a 1, 2, or 3 you win nothing (i.e., your net profit is $-1.00). If you roll a 4 or 5, you win $2.50 (i.e., your net profit is $1.50). If you roll a 6 you win $4.00 (i.e., your net profit is $3.00).Use the information described above to construct a probability distribution table for the random variable xx which represents the net profit of your winnings. Note: Be sure to enter your probabilities as reduced fractions. Die Roll xx P(x)P(x) Roll a 1, 2, or 3 Roll a 4 or 5 Roll a 6 Find the amount you would expect to win or lose each time you played the game. Round your final answer to two decimal places.μ=arrow_forward
- 4. Dereck of the YouTube channel Veritasium offered to play the following Game with people on the streets of Australia (since that's where he lived at the time). Dereck would flip a coin. You would call the result either Heads or Tails. If you called it correct Dereck would give you 20 AUS dollars. If you called it wrong you owed Dereck 10 AUS Dollars (see this video to see how people reacted to the offer). Since you call it in the air we make the (simplifying) assumption the coin is Fair. A. What is the Expected Outcome playing the game? B. What is the Expected Outcome for playing this game 10 times? C. Since each flip can assumed to be fair, we can model the number of Wins and Losses by a Binomial Distribution. Create a Probability Density Function for the number of wins and loses you will have with 10 flips.arrow_forward4. Dereck of the YouTube channel Veritasium offered to play the following Game with people on the streets of Australia (since that's where he lived at the time). Dereck would flip a coin. You would call the result either Heads or Tails. If you called it correct Dereck would give you 20 AUS dollars. If you called it wrong you owed Dereck 10 AUS Dollars (see this video to see how people reacted to the offer). Since you call it in the air we make the (simplifying) assumption the coin is Fair. D. Compute Pl(you LOSE money playing this game 10 times) E. Compute the Standard Deviation of the Binomial Probability Density Function the number of wins and losses (C). F. Should you play this game? G. Would you play this game if he offered to do it 10 times with you? Explain (note: answer can be either yes or no here, some people would, others wouldn't)arrow_forwardThe following are the rules of the game: One player is chosen to be the "It" that guards the preso (empty can). The rest of the players are the hitters, and each throws the pamato (slipper) to the toe-line to topple down the preso. If a player throws the farthest from the toe-line, he/she becomes the "It". The hitters are divided between the two opposite sides. When the hitters run out of throwing objects, the game translates into a chase. Players on one side will act as bait while those on the other side will try to kick the can to avoid being tagged. R2: R3: R4: R5: R6: Given the set of rules of the game, answer the following: 1. Identify the simple statements, compound statements, and the connectives involved in compound statements. Explain your answer. 2. Make a twist in the game by adding a new rule to the game or replacing one of the rules of the game.arrow_forward
- Suppose you decided to play a gambling game. In order to play the game there is a $1.50 dollar fee to play. If you roll a 1, 2, or 3 you win nothing (i.e., your net profit is $-1.50). If you roll a 4 or 5, you win $3.50 (i.e., your net profit is $2.00). If you roll a 6 you win $5.00 (i.e., your net profit is $3.50).Use the information described above to construct a probability distribution table for the random variable xx which represents the net profit of your winnings. Note: Be sure to enter your probabilities as reduced fractions. Die Roll xx P(x) Roll a 1, 2, or 3 Roll a 4 or 5 Roll a 6 Find the amount you would expect to win or lose each time you played the game. Round your final answer to two decimal places.μ=arrow_forwardIt is believed that an ice cream making machine at Mulungushi University tuckshop makes corn ice cream that on average ways 5g. Mr John a shop attendant inthis tuck shop claims that the machine no longer makes 5g corn ice cream after itunderwent maintenance. (i) Using mathematical notations, write the Ho and Ha,and (ii) what are the possible outcomes of this test?arrow_forwardAnswer the Following Question Your friend shuffles a standard deck of cards and says to pick one. If you pick a face card your friend will give you $10. If you pick anything else, you owe your friend $5. How much should you expect to win or lose by playing this game?arrow_forward
- What’s the correct option?arrow_forwardMorra is a hand game that dates back thousands of years to ancient Roman and Greek times. Two people called Even (E) and Odd (O) simultaneously reveal a number of fingers. Each one can choose the number of fingers (or more simply, they want to show even or odd number of fingers). If the total number of fingers is even, E wins two dollar from O: Ifthe total number of fingers is odd, O wins one dollar from E. For example, if E chooses three fingers andO chooses two fingers, then O wins one dollars from E. 1. Write down the payoff matrix of the game. 2. What is the optimal strategy for E and O? Formulate the problem as a LP and solve for the optimal strategies by the Simplex Method.arrow_forwardYou are playing a game in which a single die is rolled. If a 2 or a 5 comes up, you win $60; otherwise, you lose $3. What is the price that you should pay to play the game that would make the game fair?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Propositional Logic, Propositional Variables & Compound Propositions; Author: Neso Academy;https://www.youtube.com/watch?v=Ib5njCwNMdk;License: Standard YouTube License, CC-BY
Propositional Logic - Discrete math; Author: Charles Edeki - Math Computer Science Programming;https://www.youtube.com/watch?v=rL_8y2v1Guw;License: Standard YouTube License, CC-BY
DM-12-Propositional Logic-Basics; Author: GATEBOOK VIDEO LECTURES;https://www.youtube.com/watch?v=pzUBrJLIESU;License: Standard Youtube License
Lecture 1 - Propositional Logic; Author: nptelhrd;https://www.youtube.com/watch?v=xlUFkMKSB3Y;License: Standard YouTube License, CC-BY
MFCS unit-1 || Part:1 || JNTU || Well formed formula || propositional calculus || truth tables; Author: Learn with Smily;https://www.youtube.com/watch?v=XV15Q4mCcHc;License: Standard YouTube License, CC-BY