It costs $7.00 to play a very simple game in which a dealer gives you one card from a deck of 52 cards. if the card is a heart, spade, or diamond, you lose. if the card is a club other than the queen of clubs, you win $11.50. if the card is the queen of clubs, you win $50.00. the random variable x represents your net gain from playing this game once, or your winnings minus the cost to play. what is the mean of x, rounded to the nearest penny? a. $3.38 b. −$3.62 c. −$3.38 d. $3.62

It costs $7.00 to play a straightforward game in which a dealer gives you one card from a deck of 52 cards. 

If the card is a heart, spade, or diamond, you lose. 

If the card is a club other than the queen of clubs, you win $11.50. 

If the card is the queen of clubs, you win $50.00. 

The random variable x represents your net gain from playing this game once, or your winnings minus the cost to play. What is the mean of x, rounded to the nearest penny?


Random "winnings"::-74.5043

Probabilities:: 39/5212/521/52 



u(x) = [39*-7 + 12*4.5 + 43]/52 = -$3.38