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Problem 1. Consider the following betting strategy as given in Lecture 13: 1) We start by betting $1. 2) If we win, we q
Posted: Wed Nov 24, 2021 9:28 am
by answerhappygod
- Problem 1 Consider The Following Betting Strategy As Given In Lecture 13 1 We Start By Betting 1 2 If We Win We Q 1 (130.16 KiB) Viewed 69 times
Problem 1. Consider the following betting strategy as given in Lecture 13: 1) We start by betting $1. 2) If we win, we quit; otherwise, we bet $2 on the next game 3) If we win the second game, we quit; otherwise we double our bet to $4 and play. 4) Each time we lose, we double our bet. At the time that we win, we will be ahead $1. With probability one, we will eventually win the game, so this strategy is a way to beat a fair game. Verify that the winnings in this game Wn is a martingale, show the details of your work.