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

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...
icon
Related questions
Question

I am having a difficult time with this problem can you please do this step by step and can you label the parts as well.

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?
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?
Expert Solution
steps

Step by step

Solved in 5 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL