A table at a fair is testing out a new game that works as follows: the player rolls two six-sided dice. If the first die is less than six, then the player wins no money. If the first die shows the number six and the second die shows the number m, then the player wins 6/m dollars. How much money should the table at the fair charge to the play the game if the table wants to have an expected earnings of $0.55 on a single game?

You are on a TV show. You have been asked to either play a dice game five times or accept a $120 bill. The dice game works like this: If you roll a 1 or 5, you win $50. If you roll a 4, you win $150. If you roll a 2, 3 or 6, you lose $30. Should you play the game? Answer yes or no. __________ Use expected values and decision theory to justify your answer. Please round the answer to two decimal places. Expected value of five games is $__________

A friend proposes a gamble to you. You roll 2 fair, six-sided dice, and add up the results of each die to find your total number. If your roll totals a 6 or 8, your friend pays you $30. If you roll any other total, you pay your friend $10. What is your expected payoff from playing this game 100 times?.

A #5 TO pAY GAME AT LOCAL BAR COST A AND INVOLVES SPINNING AN ARRON WHICH POINTS AT SINGLE COLOR, IF LANDS ON GREEN ノyou CONCERT TICKETS WORTH WIN $ 20, OTHE RWISE, you LOSE. THE PROBABILTY OF THE ARROW LANDING ON GREEN Is 10% a. WHAT IS THE EXPE CTED VA LUE OF PLAY INNG THIS GAME? b. How MUCH CAN THモ EVENT ORGANIZERS EXPECT TO RAISE 500 PEOPLE PLAY THIS GAME?