The credit department of Lion's Department Store in Anaheim, California, reported that 30% of their sales are cash, 25% are paid with a credit card, and 45% with a debit card. Twenty percent of the cash purchases, 81% of the credit card purchases, and 65% 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.)