(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...
icon
Related questions
Question
(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?
Transcribed Image Text:(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?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer