Assume that Patton Co. will receive 100,000 New Zealand dollars (NZ$) in 180 days. Today's spot rate of the NZ$ is $.50, and the 180-day forward rate is $.51. A call option on NZ$ exists, with an exercise price of $.52, a premium of $.02, and a 180-day expiration date. A put option on NZ$ exists with an exercise price of $.51, a premium of $.02, and a 180-day expiration date. Patton Co. has developed the following probability distribution for the spot rate in 180 days:Possible Spot Ratein 90 Days Probability$.48 10%$.49 60%$.55 30%The probability that the forward hedge will result in more U. S. dollars received than the options hedge is (deduct the amount paid for the premium when estimating the U. S. dollars received on the options hedge).