Consider the following game that you have been invited to play by an acquaintance who always pays

Question:

Consider the following game that you have been invited to play by an acquaintance who always pays his debts. Your acquaintance will flip a fair coin. If it comes up heads, you win$2. If it comes up tails, he flips the coin again. If heads occurs on the second toss, you win $4. If tails, he flips again. If heads occurs on the third toss, you win $8, and if tails, he flips again, and so on. Your payoff is an uncertain amount with the following probabilities:

image text in transcribed
This is a good game to play because you are bound to come out ahead. There is no possible outcome from which you can lose. How much would you pay to play this game? $10? $20? What is the expected value of the game? Would you be indifferent between playing the game and having the expected value for sure?
Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Making Hard Decisions with decision tools

ISBN: 978-0538797573

3rd edition

Authors: Robert Clemen, Terence Reilly

Question Posted: