The credit department of Lion's Department Store in Anaheim, California, reported that 30% of their sales are cash, 20% are paid with a credit card, and 50% with a debit card. Twenty percent of the cash purchases, 86% of the credit card purchases, and 53% 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.) Probability