Question 340100
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There is 1 King of Hearts in 52 card deck.  Hence the probability of drawing the King of Hearts is *[tex \Large \frac{1}{52}] and therefore the expected return with respect to drawing a King of Hearts is *[tex \Large \frac{1}{52}\ \times\ $104\ = $2]


There are 4 Aces, so: *[tex \Large \frac{4}{52}\ \times\ $78\ = $6]


There are 47 other cards, so *[tex \Large \frac{47}{52}\ \times\ -$13\ = -$11.75]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2\ +\ 6\ -\ 11.75\ =\ -3.75]


On average, you give up $3.75 every time you play.


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