Explanation Given info: In Powerball lottery, the winning of jackpot is done by selecting five different correct numbers between l and 39 and in other selection, drawing a correct single number between 1 and 39. Calculation: In the first selection, there are 59 numbers and 5 numbers are selected. That is, n = 59 and r = 5 . Combination Rule: There are n different items and r number of selections and the selections are made without replacement, then the number of different combinations (order does not matter counts) is given by, n C r = n ! ( n − r ) ! r ! Substitute 59 for ‘ n’ and 5 for ‘ r’ , then the number of different possible for winning the jackpot with five different correct numbers between l and 59 is 59 C 5 = 59 ! ( 59 − 5 ) ! 5 ! = 59 ! 54 ! 5 ! = 5 , 006 , 386 In another drawing, a single correct number between 1 and 39 is selected

12th Edition

ISBN: 9780321836960

Author: Mario F. Triola

Publisher: PEARSON

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of …

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Chapter 4.6, Problem 33BSC

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Chapter 4.6, Problem 32BSC

Chapter 4.6, Problem 34BSC

Chapter 4 Solutions

Elementary Statistics

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