You ( ) and a friend ( ) are playing the following matrix game, where the entries indicate your...

You () and a friend ()
are playing the following matrix game, where the entries indicate your winnings
from in dollars. To encourage your friend
to play, you pay her $4 before each game. The jack, queen, king, and ace from
the hearts, spades, and diamonds are taken from a standard deck of cards. The
game is based on a random draw of a single card from these 12 cards. The play
is indicated at the top and side of the matrix.

(A) If you select a row by drawing a single card and your
friend selects a column by drawing a single card (after replacement), what is
your expected value of the game?

(B) If your opponent chooses an optimal strategy (ignoring
the cards) and you make your row choice by drawing a card, what is your
expected value?

(C) If you both disregard the cards and make your own
choices, what is your expected value, assuming that you both choose optimal
strategies?