Jon is at a blackjack table. He can place a bet of $20 or do nothing. His odds of winning a bet are 49.5%. Jon wants to maximize expected value. a) What should he do? b) Suppose that before placing a bet, Jon will be told whether he will win or lose with 100% accuracy. How much is this information worth to him? c) Now suppose that Jon counts cards. If the deck is "good", his odds of winning are 52%. If the deck is "bad", his odds of winning are 49%. The deck is good 20% of the time. What is the value of this imperfect information for Jon?
Jon is at a blackjack table. He can place a bet of $20 or do nothing. His odds of winning a bet are 49.5%. Jon wants to maximize expected value. a) What should he do? b) Suppose that before placing a bet, Jon will be told whether he will win or lose with 100% accuracy. How much is this information worth to him? c) Now suppose that Jon counts cards. If the deck is "good", his odds of winning are 52%. If the deck is "bad", his odds of winning are 49%. The deck is good 20% of the time. What is the value of this imperfect information for Jon?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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