2.5-7. In the Michigan lottery game, LOTTO 47, the state selects six balls randomly out of 47 numbered balls. The player selects six different numbers out of the first 47 positive integers. Prizes are given for matching all six numbers (the jackpot), five numbers ($2500), four numbers ($100), and three numbers ($5.00). A ticket costs $1.00 and this dollar is not returned to the player. Find the probabilities of matching (a) six numbers, (b) five numbers, (c) four numbers, and (d) three numbers. (e) What is the expected value of the game to the player if the jackpot equals $1,000,000? (f) What is the expected value of the game to the player if the jackpot equals $2,000,000?

2.5-7. In the Michigan lottery game, LOTTO 47, the state selects six balls randomly out of 47 numbered balls. The player selects six different numbers out of the first 47 positive integers. Prizes are given for matching all six numbers (the jackpot), five numbers ($2500), four numbers ($100), and three numbers ($5.00). A ticket costs $1.00 and this dollar is not returned to the player. Find the probabilities of matching (a) six numbers, (b) five numbers, (c) four numbers, and (d) three numbers. (e) What is the expected value of the game to the player if the jackpot equals $1,000,000? (f) What is the expected value of the game to the player if the jackpot equals $2,000,000?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Hi, could you assist me with sections d, e, and f? I'm having difficulty with these portions of the problem. It would be greatly appreciated if you could walk me through the steps and provide clear labels for each part.

2.5-7. In the Michigan lottery game, LOTTO 47, the state selects six balls randomly out
of 47 numbered balls. The player selects six different numbers out of the first 47 positive
integers. Prizes are given for matching all six numbers (the jackpot), five numbers
($2500), four numbers ($100), and three numbers ($5.00). A ticket costs $1.00 and this
dollar is not returned to the player. Find the probabilities of matching (a) six numbers,
(b) five numbers, (c) four numbers, and (d) three numbers. (e) What is the expected
value of the game to the player if the jackpot equals $1,000,000? (f) What is the expected
value of the game to the player if the jackpot equals $2,000,000?

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