SOLUTION: If you draw a card with a value of three or less from a standard deck of cards, I will pay you $47. If not, you pay me $12. (Aces are considered the highest card in the deck.)

Algebra ->  Probability-and-statistics -> SOLUTION: If you draw a card with a value of three or less from a standard deck of cards, I will pay you $47. If not, you pay me $12. (Aces are considered the highest card in the deck.)       Log On


   



Question 1165466: If you draw a card with a value of three or less from a standard deck of cards, I will pay you $47. If not, you pay me $12. (Aces are considered the highest card in the deck.)
Step 1 of 2 : Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Probability you win is 8/52, since there are 4 3s and 4 deuces
multiply that by $47 and expected value that is + is $7.23
probability you lose is 44/52 and expected value that is - is that *$12=$10.15
E(X) for the game is $7.23-$10.15=-$2.92 per event