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pow:problem5s24

Problem 5 (due Monday, April 8)

An investor in a casino is offered a choice of getting a return each time a certain game is played. The game is played by tossing $N$ times a fair coin and recording the sequence of heads (H) and tails (T). Let $h$ be the number of appearances of HH in the recorded sequence and let $t$ be the number of appearances of HT. For example, when $N=5$ and THHHT is recorded then $h=2$ and $t=1$. The investor can choose to either get $h$ cents each time the game is played, or to get $t$ cents each time the game is played. Which choice offers a better expected return?

No solutions were submitted. The expected returns for each choice are actually the same and equal to $(N-1)/4$. For a detailed solution see the following link Solution.

pow/problem5s24.txt · Last modified: 2024/04/13 12:44 by mazur

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