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You have been invited to play a coin-flipping game. The coin is flipped until he

ID: 2704682 • Letter: Y

Question

You have been invited to play a coin-flipping game. The coin is flipped until heads appears for the first time. The payoff is P(n)=2^n where n is the number of tails. For example, if heads is the result of the first flip, n=0 and P(n) = $1. The table shows the results for the first four potential flip sequences. How much would you be willing to pay to play this game.


Flip Sequence                             N                                                     P(n)

H                                                    0                                                      $1

T,H                                                 1                                                     $2

T,T,H                                             2                                                      $4

T,T,T,H                                          3                                                      $8


Explanation / Answer

50 cents. To obtain the feeling of betting by usuing coins.

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