1. In a new card game, you start with a well-shuffled full deck
and draw 3 cards without replacement. If you draw 3 hearts, you win
$50. If you draw 3 black cards, you win $25. For any other draws,
you win nothing.
a. Create a probability model for the amount you win at this
game.
b. Find the expected winnings and compute the standard deviation
of this distribution
.c. If the game costs $5 to play, what would be the expected
value and standard deviation of the net profit (or loss)?
d. If the game costs $5 to play, should you play this game?
Explain.