Suppose you pay $3.00 to roll a fair die with the understanding that you will get back $5 for rolling a 6 or a 5, nothing otherwise. You will not have your payment of $3.00 refunded. What is your expected net winnings? A. − $3.00 B. − $1.33 C. $3.00 D. $5

Each spin costs $2. If the spinner lands on C the player wins a dime, if the spinner stops on A the player wins $9 otherwise the player wins nothing. Calculate the players expected winnings. Express your answer to at least three decimal places in dollar form.. Answer: $ 3/11 A 4/11 B D C 2/11 2/11

Your friend makes up a game to play over Zoom during the shelter in place, and asks if you would like to play.  The rules are: You win $8 if you roll a 6. You win $4 if you roll a 4 or 5 Otherwise, you have to pay $10. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. The first value is filled in for you.  Round to 4 decimal places where appropriate.  Probability Distribution Table X P(X) -10           b. Find the expected profit. $ (Round to the nearest cent)c. Interpret the expected value. You will win this much if you play a game. This is the most likely amount of money you will win. If you play many games, on average, you will likely win, or lose if negative, close to this amount.