SOLUTION: mike and dave play the following game. mike picks a card from a deck of cards if he selects an ace, dave gives him $5. if not, he gives dave $2? Determine mikes expectation d

Algebra ->  Probability-and-statistics -> SOLUTION: mike and dave play the following game. mike picks a card from a deck of cards if he selects an ace, dave gives him $5. if not, he gives dave $2? Determine mikes expectation d      Log On


   



Question 1073972: mike and dave play the following game. mike picks a card from a deck of cards if he selects an ace, dave gives him $5. if not, he gives dave $2?
Determine mikes expectation
determine daves expectation

Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
The probability of mike picking an ace out of a standard 52-card deck is 1/13. The probability he WON'T is 12/13. So his expectation is:
5x1/13 - 2x12/13, or -$1.46.
Dave's expectation is -5/13+24/13, or +$1.46. ☺☺☺☺