Question 1145578
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If you win $1 40% of the time, $5 20% of the time, and $10 5% of the time, then you win nothing 35% of the time.  But since you pay $3 to play every time, you lose $3 35% of the time, $2 40% of the time and you win $2 20% of the time and $7 5% of the time.


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  0.35\ \times\ -3.00\ =\ -1.05]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  0.40\ \times\ -2.00\ =\ -0.80]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  0.20\ \times\ \ \,2.00\ =\ 0.40]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \  0.05\ \times\ \ \,7.00\ =\ 0.35]


Minus a buck five minus 80 cents plus 40 cents plus 35 cents is minus a buck ten.


<i>Sucker Bet</i>
								
								
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
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