The probability that the New York Yankees will win their baseball game tomorrow is objectively determined to be 0.4. If they win, then tomorrow I will flip a coin to determine a monetary payout that you will receive: if the flip is Heads, you win $0, while if it is Tails, you win $20. If the Yankees do not win, then I will roll a 6-sided die (assume each side is equally likely to be rolled). If the die roll is an even number, you will win $40. If it is an odd number other than 1 (i.e., a 3 or a 5), then you will win $20, and if it is a 1, you will win $0." Fill in the blanks below for the reduced lottery that corresponds to this compound lottery (write in decimals).   R = (       , $0;        , $20;        , $40)

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...
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The probability that the New York Yankees will win their baseball game tomorrow is objectively determined to be 0.4. If they win, then tomorrow I will flip a coin to determine a monetary payout that you will receive: if the flip is Heads, you win $0, while if it is Tails, you win $20. If the Yankees do not win, then I will roll a 6-sided die (assume each side is equally likely to be rolled). If the die roll is an even number, you will win $40. If it is an odd number other than 1 (i.e., a 3 or a 5), then you will win $20, and if it is a 1, you will win $0."

Fill in the blanks below for the reduced lottery that corresponds to this compound lottery (write in decimals).

 

R = (       , $0;        , $20;        , $40)

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