SOLUTION: Dawn and Mike play the following game. Dawn picks a card from a deck of cards. If she selects a black king, Mike will give her $5. If not, she has to give Mike $2. Should dawn play

Algebra ->  Probability-and-statistics -> SOLUTION: Dawn and Mike play the following game. Dawn picks a card from a deck of cards. If she selects a black king, Mike will give her $5. If not, she has to give Mike $2. Should dawn play      Log On


   



Question 1117904: Dawn and Mike play the following game. Dawn picks a card from a deck of cards. If she selects a black king, Mike will give her $5. If not, she has to give Mike $2. Should dawn play this game? What is her expected value?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
There are two black kings and probability is 1/26 of being chosen and the monetary expected value is +$5/26.
For the probability of not getting one, 25/26, the monetary expected value is -$50/26
Her expected loss is -$45/26. Not worth playing.