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?
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.CR: Chapter Review
Problem 4CC: a In solving a problem involving picking r objects from n objects, how do you know whether to use...
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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.
Transcribed Image Text: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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