MYLAB MATH FOR EXCURSIONS IN MATHEMATIC
9th Edition
ISBN: 9780136415893
Author: Tannenbaum
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 12, Problem 33E
To determine
(a)
To find:
The sequence of rolls that would produce the given sequence of marked points.
To determine
(b)
To find:
The sequence of rolls that would produce the given sequence of marked points.
To determine
(c)
To find:
The sequence of rolls that would produce the given sequence of marked points.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
please do the last question(Q3) as well
Define a game as follow: you begin with an urn that contains a mixture of black and white balls, and during the game you have access to as many extra black and white balls as you need.
In each move of the game, you remove two balls from the urn without being able to see what colour they are. Then you look at their colour and do the following:
If the balls are the same colour, you keep them out of the urn and put a black ball in the urn.
if the balls are different colours, you keep the black one out of the urn and put the white one back into the urn.
Each move reduces the number of balls by one, and the game will end when only one ball is left in the urn.
In this you will figure out how to predict the colour of the last ball in the urn and prove your answer using mathematical induction.
Q1) Draw diagrams to map out all the possibilities for playing the game starting with two balls in the urn, then three balls, then four balls. For each case…
Consider a square (see below). In the center of the square lives Jes. His friends (four of them: Abe (A), Bagen(B), Calvin (C) and Danny (D)) each live at one of the four corners of the squares. Jes decides to visit a friend.His choice is random and he is equally likely to visit any one of them first. Once at a friends house, he will either return home or else proceed to visit one of the nearest two adjacent friends. That is, if Jes is at D, then, he willeither return home or visit A or C, and the probability of each of the possibilities is the same. Following this pattern, Jes, continues to visit friends. Let X be the number of times Jes visits a friend (that is, the number of visits to friends).(a) What is the pmf of X?(b) What is the expected value of X?(c) If we define a new random variable Y to be the number of straight line segments that Jes traverses, including those leading home. What is the pmf of Y ?
You go to a casino and play a game. You throw a fair 4 sided die whose sides are labeled 1, 2, 3 and 4.
If you land on a 1, you get $30. If you land on a 2, you get $10. If you land on either a 3 or a 4, you owe the casino $8.
If you play this game repeatedly, what would your "winnings" be on average, in dollars?
Chapter 12 Solutions
MYLAB MATH FOR EXCURSIONS IN MATHEMATIC
Ch. 12 - Consider the construction of a Koch snowflake...Ch. 12 - Consider the construction of a Koch snowflake...Ch. 12 - Prob. 3ECh. 12 - Prob. 4ECh. 12 - Prob. 5ECh. 12 - Prob. 6ECh. 12 - Prob. 7ECh. 12 - Prob. 8ECh. 12 - Prob. 9ECh. 12 - Exercises 9 through 12 refer to a variation of the...
Ch. 12 - Exercises 9 through 12 refer to a variation of the...Ch. 12 - Exercises 9 through 12 refer to a variation of the...Ch. 12 - Prob. 13ECh. 12 - Prob. 14ECh. 12 - Exercises 13 through 16 refer to the construction...Ch. 12 - Prob. 16ECh. 12 - Prob. 17ECh. 12 - Prob. 18ECh. 12 - Prob. 19ECh. 12 - Prob. 20ECh. 12 - Prob. 21ECh. 12 - Assume that the seed triangle of the Sierpinski...Ch. 12 - Prob. 23ECh. 12 - Prob. 24ECh. 12 - Prob. 25ECh. 12 - Prob. 26ECh. 12 - Prob. 27ECh. 12 - Prob. 28ECh. 12 - Prob. 29ECh. 12 - Prob. 30ECh. 12 - Prob. 31ECh. 12 - Exercises 31 through 34 refer to a variation of...Ch. 12 - Prob. 33ECh. 12 - Prob. 34ECh. 12 - Prob. 35ECh. 12 - Prob. 36ECh. 12 - Prob. 37ECh. 12 - Prob. 38ECh. 12 - Exercises 35 through 40 are a review of complex...Ch. 12 - Prob. 40ECh. 12 - Prob. 41ECh. 12 - Prob. 42ECh. 12 - Prob. 43ECh. 12 - Prob. 44ECh. 12 - Prob. 45ECh. 12 - Prob. 46ECh. 12 - Prob. 47ECh. 12 - Prob. 48ECh. 12 - Prob. 49ECh. 12 - Exercises 49 and 50 refer to the Menger sponge, a...Ch. 12 - Prob. 51ECh. 12 - Prob. 52ECh. 12 - Consider the Mandelbrot sequence with seed s=1.25....Ch. 12 - Consider the Mandelbrot sequence with seed s=2. Is...Ch. 12 - Prob. 55ECh. 12 - Prob. 56ECh. 12 - Prob. 57ECh. 12 - Prob. 58ECh. 12 - Prob. 59ECh. 12 - Prob. 60E
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
- The board game Dominion is a card-drafting game where the player with the most victory points wins. You are playing Dominion with a group of friends, and are on the last turn. The only two remaining cards that you can purchase are Duchies and Dukes. Each Duchy is worth 3 victory points and costs 5 gold. Each Duke gives you 1 victory point per Duchy in your possession, and also costs 5 gold. Assuming you have N gold and can purchase as many cards as you like, how many Dukes and Duchies should you buy to maximize your victory points?arrow_forwardMike and Bill play a card game with a standard deck of 52 cards. Mike selects a card from a well-shuffled deck andreceives A dollars from Bill if the card selected is a diamond and receives $1 from Bill if the card selected is an ace that is not adiamond. Otherwise, Mike pays Bill two dollars. Determine the value of A if the game is to be fair.arrow_forwardThe game of craps is played with two dice. The player rolls both dice and wins immediately if the outcome (the sum of the faces) is 7 or 11. If the outcome is 2, 3, or 12, the player loses immediately. If he rolls any other outcome, he continues to throw the dice until he either wins by repeating the first outcome or loses by rolling a 7.arrow_forward
- An archery target consists of a gold circle with radius of 5 inches surrounded by a red ring whose diameter is 20 inches. Next, there are three progressively larger rings – blue, black, and white. The diameter of each ring is 10 inches larger than the diameter of the previous ring. John is a beginner so his aim is poor and, if his arrow hits the target, its location on the target is completely at random. John shoots and then yells, “I hit it!” Without using your calculator, find the following probabilities. Write the answers as a percentage. a) The probability his arrow landed in the gold circle is ______. b) The probability his arrow landed in the white area is ______. c) The probability his arrow landed in the red or the blue area is ______.arrow_forwardThe casino game is played by a person called the shooter, who rolls two dice. There are two phases to the game. The first phase is called the 'come out' phase, and the second is called the 'point' phase. If the 'come out' roll of 2, 3, or 12, the shooter loses. If the 'come out' roll is a 7 or 11 , the shooter wins. Otherwise, the game progresses to the 'point' phase. Complete parts (a) through (c) below. (a) What is the probability that the players loses? (Type an integer or a simplified fraction.) (b) What is the probability that the player wins? (Type an integer or a simplified fraction.) (c) What is the probability that the player progresses to the 'point' phase? (Type an integer or a simplified fraction.)arrow_forwardThe casino game is played by a person called the shooter, who rolls two dice. There are two phases to the game. The first phase is called the 'come out' phase, and the second is called the 'point' phase. If the 'come out' roll of 2, 3, or 12, the shooter loses. If the 'come out' roll is a 7 or 11, the shooter wins. Otherwise, the game progresses to the 'point' phase. Complete parts (a) through (c) below. (a) What is the probability that the player loses? The probability is nothing. (Type an integer or a simplified fraction.) (b) What is the probability that the player wins? The probability is nothing. (Type an integer or a simplified fraction.) (c) What is the probability that the player progresses to the 'point' phase? The probability is nothing. (Type an integer or a simplified fraction.)arrow_forward
- You are going to play the 7-11 game, which has the following rules: You roll two dice. If the total value of the two dice is 7 or 11, you immediately win the game. If the total value is 2, 3, or 12, you immediately lose. If the total value is 4, 5, 6, 8, 9, or 10, you keep this value as a referenced point. Then, you continue rolling the dice until you obtain the same value as the referenced point then you win the game. However, if you obtain the value of 7 before the referenced point, then you lose. For example, you obtain 4 in the first time of rolling, you keep rolling the dice until you get 4 (before 7) then you win. Similarly, you obtain 4 in the first time of rolling, you keep rolling the dice but you get 7 (before 4) then you lose. What is the probability to win this game? You can solve this question either by - a simulation - in this case you have to answer one more question, i.e., on average how many times do you roll the dice for each game? (for a submission, you will need to…arrow_forwardTwo players play a game with the following rules: Player 1 puts on a blindfold while player two throws a die. The number that he gets is put aside as the "Target value". Then player two throws another die three times while giving player 1 information on weather he gets a lesser number than the target, equal to the target or greater than the target. Imagine that you are player one and you are handed the information that player two got [Lesser, equal, greater]. Deduce the probabilities of each possible target given the information.arrow_forwardA game consists of spinning a wheel that is divided into 8 differently colored sectors (red, blue, yellow, violet, orange, green, black, and white). The amount to pay to play is P12. The prizes for each color are as follows: Red, Blue, P5 Yellow 31-35. Is the game fair? Show your computation to support your claim. P15 Purple, Orange. Green White Black P20 No prizearrow_forward
- 3. Matc (i) Intersackidg Parallel Lntersatin My friend, Maths : On the ground, in the sky. Observe the picture of the game beiarrow_forwardThere are four medals (Gold, Silver, Bronze and Wood) on a table, but they are all wrapped with dark wrapping paper, such that it is impossible to distinguish them. You would like to find the gold medal. The game starts as follows. You pick one medal without unwrapping it, and then the game host unwraps one of the remaining medals and reveals that it is a silver medal. (Assume here that the host unwraps a medal with equal probability, but knowing where the gold medal was and avoiding unwrapping the gold medal if still on the table, to keep the game interesting to watch until the end.) You have now three medals left to unwrap (one in your hand, two on the table). At this point, the host gives you the option to change your mind and swap your medal for one of the two left on the table. What would you do at this point? Would you keep your medal, or swap it with one of the two medals left on the table? If so, which one?arrow_forwardThere are four medals (Gold, Silver, Bronze and Wood) on a table, but they are all wrapped with dark wrapping paper, such that it is impossible to distinguish them. You would like to find the gold medal. The game starts as follows. You pick one medal without unwrapping it, and then the game host unwraps one of the remaining medals and reveals that it is a silver medal. (Assume here that the host unwraps a medal with equal probability but knowing where the gold medal was and avoiding unwrapping the gold medal if still on the table, to keep the game interesting to watch until the end.) You have now three medals left to unwrap (one in your hand, two on the table). At this point, the host gives you the option to change your mind and swap your medal for one of the two left on the table. Would you keep your medal, or swap it with one of the two medals left on the table? If so, which one? Why?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Linear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Find number of persons in a part with 66 handshakes Combinations; Author: Anil Kumar;https://www.youtube.com/watch?v=33TgLi-wp3E;License: Standard YouTube License, CC-BY
Discrete Math 6.3.1 Permutations and Combinations; Author: Kimberly Brehm;https://www.youtube.com/watch?v=J1m9sB5XZQc;License: Standard YouTube License, CC-BY
How to use permutations and combinations; Author: Mario's Math Tutoring;https://www.youtube.com/watch?v=NEGxh_D7yKU;License: Standard YouTube License, CC-BY
Permutations and Combinations | Counting | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=0NAASclUm4k;License: Standard Youtube License
Permutations and Combinations Tutorial; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=XJnIdRXUi7A;License: Standard YouTube License, CC-BY