Mathematics For Elementary Teachers With Activities
5th Edition
ISBN: 9780134423401
Author: Sybilla Beckmann
Publisher: PEARSON
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Chapter 16.3, Problem 15P
You are making up a game for a fund-raiser. You take 5 table-tennis balls, number them from 1 to 5, and put all 5 in a brown bag. Contestants will pick the 5 balls out of the bag one at a time, without looking, and line the balls up in the order they were picked. If the contestant picks 1, 2, 3, 4, 5, in that order, then the contestant wins a prize of $2. Otherwise, the contestant wins nothing. Each contestant pays $1 to play.
a. What is the probability that a contestant will win the prize? Explain your reasoning.
b. If 240 people play your game, then approximately how many people would you expect to win the prize? Why?
c. Based on your answer to part (b), about how much money would you expect your game to earn (net) for the fund-raiser if 240 people play? Explain.
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Students have asked these similar questions
Assume {u1, U2, u3, u4} does not span R³.
Select the best statement.
A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set.
B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³.
C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set.
D. {u1, U2, u3} cannot span R³.
E. {U1, U2, u3} spans R³ if u̸4 is the zero vector.
F. none of the above
Select the best statement.
A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors
are distinct.
n
B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0
excluded spans Rª.
○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n
vectors.
○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors
spans Rn.
E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn.
F. none of the above
Assume {u1, U2, u3, u4} does not span R³.
Select the best statement.
A. {u1, U2, u3} spans R³ if u̸4 is a linear combination of other vectors in the set.
B. We do not have sufficient information to determine whether {u₁, u2, u3} spans R³.
C. {U1, U2, u3} spans R³ if u̸4 is a scalar multiple of another vector in the set.
D. {u1, U2, u3} cannot span R³.
E. {U1, U2, u3} spans R³ if u̸4 is the zero vector.
F. none of the above
Chapter 16 Solutions
Mathematics For Elementary Teachers With Activities
Ch. 16.1 - Some games have spinners. When the arrow in a...Ch. 16.1 - a. Draw a spinner such that the probability of...Ch. 16.1 - a. Draw a 4-color spinner (red, green, yellow,...Ch. 16.1 - Write a paragraph discussing the following: a....Ch. 16.1 - A family math night at school features the...Ch. 16.1 - There are 50 small balls in a tub. Some balls are...Ch. 16.1 - In a classroom, there are l00 plastic fish in a...Ch. 16.1 - There is a bag filled with 4 red blocks and 16...Ch. 16.1 - Write several paragraphs in which you describe and...Ch. 16.2 - A bakery makes 4 different kinds of cake. Each...
Ch. 16.2 - Allie and Betty want to know how many 3-letter...Ch. 16.2 - Explain your answers to the following: a. How many...Ch. 16.2 - In all 3 parts in this problem, explain your...Ch. 16.2 - Most Georgia car license plates currently use the...Ch. 16.2 - a. A 40-member club will elect a president and...Ch. 16.2 - A dance club has 10 women and 10 men. In each of...Ch. 16.2 - A pizza parlor problem. How many different large...Ch. 16.2 - A pizza parlor offers lo different toppings to...Ch. 16.3 - A children’s game has a spinner that is equally...Ch. 16.3 - A children’s game has a spinner that is equally...Ch. 16.3 - A children’s game has a spinner that is equally...Ch. 16.3 - A children’s game has a spinner that is equally...Ch. 16.3 - A children’s game has a spinner that is equally...Ch. 16.3 - Determine the probability of spinning a blue...Ch. 16.3 - Determine the probability of spinning a blue...Ch. 16.3 - Determine the probability of spinning a red...Ch. 16.3 - Suppose you have a penny, a nickel, a dime, and a...Ch. 16.3 - You have a bag containing 2 yellow and 3 blue...Ch. 16.3 - There are 3 plastic bears in a bag. The teacher...Ch. 16.3 - There are 4 black marbles and 5 red marbles in a...Ch. 16.3 - Suppose you have 100 light bulbs and one of them...Ch. 16.3 - A game at a fund-raiser: There are 20 rubber ducks...Ch. 16.3 - You are making up a game for a fund-raiser. You...Ch. 16.3 - a. A waitress is serving 5 people at a table. She...Ch. 16.3 - Prob. 17PCh. 16.3 - Prob. 18PCh. 16.4 - A children’s game has a spinner that is equally...Ch. 16.4 - Suppose you flip a coin and roll a number cube...Ch. 16.4 - Use fraction arithmetic to solve problem 1 on page...Ch. 16.4 - Use fraction arithmetic to solve problem 3 on page...Ch. 16.4 - Use fraction arithmetic to solve problem 6 on page...Ch. 16.4 - Prob. 6PCh. 16.4 - Use fraction arithmetic to solve problem 8 on page...Ch. 16.4 - There are 3 boxes, one of which contains 2...Ch. 16.4 - A game consists of spinning a spinner and then...Ch. 16.4 - Prob. 10PCh. 16.4 - Prob. 11PCh. 16.4 - Prob. 12PCh. 16.4 - Prob. 13PCh. 16.4 - Prob. 14PCh. 16.4 - Suppose you have 2 boxes, 50 black pearls and 50...Ch. 16.4 - Due to its high population, China has a stringent...Ch. 16.4 - The Pretty Flower Company starts plants from seed...Ch. 16.4 - Suppose that ¡n a survey of a large, random group...Ch. 16.4 - Suppose that 1% of the population has a certain...
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