Back in the Gryffindor common room, Ron was showing Harry the latest magic from the Weasley shop. "... and these are the dice we should use when gambling." "Hold on, Ron," replied Harry. "They look normal to me." "Not when you roll them. The first of the two dice is fair. On the second, the '1' has a 0% change of occurring, and the '2' has a 33.33% chance of occurring. The remaining four sidesumbers are all fair." As you recall, in a fair game, here's the price to play, probabilities, and payoffs:" Sum to Two B-sided Dice 2 3 4 5 6 7 8 9 10 11 12 Price to Play $1.00 $1.00 $1.00 $1.00 $1.00 $1.00 $1.00 $1.00 $1.00 $1.00 $1.00 Probability 1/36 2/36 3/364/36 5/366/365/364/36 3/36 2/36 136 Winning Payoft $36.00 $18.00 $12.00 $9.00 $720 $6.00 $7.20 $9.00 $12.00 $18.00 $36.00 "With the numbers off, we can use these dice to our advantage." "Let me see if I understand this," said Harry, scribbling on an burnt section of the Daily Prophet. "If my calculations are right, for example, the sum can never be 2." "Brilliant Harry. Even Crabbe and Goyle could have figured that out. Can you tell which sum is cheap?" "I'll figure that out in a minute. Regardless, what's the plan, Ron?" "Well, just to avoid being too obvious, we'll go long on '5' and short '2'. What is the expected payoff to Ron's strategy? Enter your answer in dollars and cents, rounded to the nearest cent, with no punctuation. For example, if your answer is $5.286, enter "5.29