SOLUTION: Tom and Sam are playing a game. Tom selects one card from a standard 52-card deck. If Tom selects a face card (Jack, Queen, or King), Sam pays him $4. If Tom selects any other type

Algebra ->  Probability-and-statistics -> SOLUTION: Tom and Sam are playing a game. Tom selects one card from a standard 52-card deck. If Tom selects a face card (Jack, Queen, or King), Sam pays him $4. If Tom selects any other type      Log On


   

Question 1020190: Tom and Sam are playing a game. Tom selects one card from a standard 52-card deck. If Tom selects a face card (Jack, Queen, or King), Sam pays him $4. If Tom selects any other type of card, he pays Sam $3.
a) What is Tom's expected value for this game? Round your answer to the nearest cent.

b) What is Sam's expected value for this game? Round your answer to the nearest cent.

c) Who has the advantage in this game?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
There are 52 cards in the deck.
12 of them are J, Q, or K.
40 of them are not.
.
.
a)The expected value to Tom is,
E%5BT%5D=%2812%2F52%29%284%29-%2840%2F52%29%283%29=0.92-2.31=-1.38
.
.
b) The expected value for Sam is negative Tom's expected value.
E%5BS%5D=1.38
.
.
c) Sam has the advantage.