Concept explainers
Counting: Powerball The Viewpoint of this section, on page 232, describes how the lottery game of Powerball is played.
(a) The first step is to select five distinct whole numbers between 1 and 69. Order is not important. Use the appropriate counting rule to determine the number of ways groups of five different numbers can be selected. Note: The winning group of five numbers is selected by random drawing of
5 white balls from a collection of 69 numbered balls.
(b) The next step is to choose the Powerball number, which is any number between 1 and 26. The number need not be distinct from numbers chosen for the first five described in part (a). Use the appropriate counting rule to determine the number of possible distinct outcomes for the first five numbers, chosen as described in part (a) together with the Powerball number. Note: The Powerball number appears on a red ball that is drawn at random from a collection of 26 numbered balls.
Trending nowThis is a popular solution!
Chapter 5 Solutions
Understanding Basic Statistics
- Fundamental Counting Principle. The exercises involve the Fundamental Counting Principle. License Plates Standard automobile license plates in California display a nonzero digit, followed by three letters, followed by three digits. How many different standard plates are possible in this system?arrow_forwardSelecting surfboards In how many ways can 6 surfboards be selected from 24 different surfboards?arrow_forwarda In solving a problem involving picking r objects from n objects, how do you know whether to use permutations or combinations? b Would you use combinations or permutations in counting the following: i The number of five-card hands from a 52-card deck. ii The number of ways in which first, second, and third prizes can be awarded in a ten-person race.arrow_forward
- Jury Selection In how many different ways can a jury of 12 people be randomly selected from a group of 32 people?arrow_forwardFundamental Counting Principle. The exercises involve the Fundamental Counting Principle. Social Security Numbers Social Security number consist of nine digits, with the first digit between 0 and 6, inclusive. How many Social Security numbers are possible?arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning