The credit department of Lions Department Store in Anaheim, California, reported that 24% of their sales are cash, 27% are paid with a credit card, and 49% with a debit card. Twenty percent of the cash purchases, 86% of the credit card purchases, and 51% 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.)