SOLUTION: A card game goes like this: You draw a card from a 52-card deck. If it is a face card (jack, queen or king), you win $3; otherwise, you lose $2. What is your expected value for thi

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A card game goes like this: You draw a card from a 52-card deck. If it is a face card (jack, queen or king), you win $3; otherwise, you lose $2. What is your expected value for thi      Log On


   



Question 1152969: A card game goes like this: You draw a card from a 52-card deck. If it is a face card (jack, queen or king), you win $3; otherwise, you lose $2. What is your expected value for this game? (Round your answer to the nearest cent.)
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

There are 3*4 = 12 face cards and the rest 52-12 = 40 cards are not face cards.


Hence, the expected value for this game is  


    3%2A%2812%2F52%29 - 2%2A%2840%2F52%29 = %283%2A12+-+2%2A40%29%2F52 = -44%2F52 = -11%2F13 of a dollar.