An article in American Demographics claims that more than twice as many shoppers are out shopping on weekends than throughout the week. Not only that, such shoppers as well spend more money upon their purchases on Saturdays and Sundays! Assume that the amount of money spent at shopping centers between 4 P.M. and 6 P.M. On Sundays has a normal distribution with mean $88 and with a standard deviation of $20. A shopper is randomly selected on a Sunday between 4 P.M. and 6 P.M. and asked about his spending patterns.
If two shoppers are randomly selected, what is the probability that both shoppers have spent more than $109 at the mall? (Round your answer to four decimal places.)