The credit department of Lion's Department Store in Anaheim, California, reported that 27% of their sales are cash, 29% are paid with a credit card, and 44% with a debit card. Twenty percent of the cash purchases, 82% of the credit card purchases, and 57% of the debit card purchases are for more than $50.

Ms. Tina Stevens just purchased a new dress that cost $120. What is the probability that she paid cash?(Round your answer to 3 decimal places.)