Explanation This is the problem of combination where we have to select 5 numbers out of 44 in total C 5 44 that are the total possible outcomes also. And total favorable outcome is 1 that is the winning number. Formula used: (i) r items out of total n items can be selected in C r n ways using the following formula : C r n = n ! r ! ( n − r ) ! (ii) Probability of an event E is given as : P ( E ) = n ( E ) n ( S ) = Total favorable case Total cases (iii) To get the factorial of a number, we use the function FACT( cell address in which the number is) in MS-EXCEL. Further to get all combinations out of n items, taking r at a time is given by the function =COMBIN(n,r) that we can directly use to get below calculations... To determine Part (b) To describe: Using excel to get total ways of selecting 6 numbers out of 40 given as well as getting its probability of choosing a winning number (consisting 6 numbers)

Using & Understanding Mathematics, Books a la Carte edition (7th Edition)

7th Edition

ISBN: 9780134716015

Author: Jeffrey O. Bennett, William L. Briggs

Publisher: PEARSON

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Chapter 7.E, Problem 63E

To determine

Part (a)

To describe:

Using excel to get total ways of selecting 5 numbers out of 44 given as well as getting its probability of choosing a winning number (consisting 5 numbers)

To determine

Part (b)

To describe:

Using excel to get total ways of selecting 6 numbers out of 40 given as well as getting its probability of choosing a winning number (consisting 6 numbers)

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Chapter 7.E, Problem 62E

Chapter 7.E, Problem 64E

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Part (a) To describe: Using excel to get total ways of selecting 5 numbers out of 44 given as well as getting its probability of choosing a winning number (consisting 5 numbers)