(a) What is the probability that a fair coin lands tails up eight times in a row? (b) Suppose you're offered a bet at 250:1 odds against a fair coin landing tails up eight times in a row. What would you do take one side of the bet or the other, or decide not to play at all? (Your answer should depend both on your answer to the previous part of the problem and on your own personal ideas about risk and money.) (c) Answer the previous question if you are operating a casino. Compute the house advantage and explain how much money you would make in the long run. (d) Which is more likely, that eight flips will be TTTTTTTT or that they will be THTHTHTH?
(a) What is the probability that a fair coin lands tails up eight times in a row? (b) Suppose you're offered a bet at 250:1 odds against a fair coin landing tails up eight times in a row. What would you do take one side of the bet or the other, or decide not to play at all? (Your answer should depend both on your answer to the previous part of the problem and on your own personal ideas about risk and money.) (c) Answer the previous question if you are operating a casino. Compute the house advantage and explain how much money you would make in the long run. (d) Which is more likely, that eight flips will be TTTTTTTT or that they will be THTHTHTH?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 39E: The following problem submitted by Daniel Hahn of Blairstown, Iowa, appeared in the Ask Marilyn...
Related questions
Question
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
Recommended textbooks for you
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,