Question 1203983


The total number of cards in the deck:  {{{n=52}}}
The number of cards which have a value of two or less:  {{{x=4}}}


there are {{{4}}} possible cards you can draw to win the ${{{317}}}

 The probability of this is then{{{ 4/52=1/13}}}


On the flip side, there are {{{52-4=48}}} cards you could draw (the remaining cards in the deck), where you have to pay ${{{24}}}. 

The probability of this is then {{{48/52=12/13}}}


Thus, the expected value of this proposition is calculated by :

{{{317*(1/13) + (-24)*(12/13) =29/13=2.23}}}