Passengers traveling by airplane have two options for their bags: carry-on (for smaller bags) or check (for large bags). An airline examines the baggage choices of its customers on a selection of short flights (less than 500 miles) and long flights (more than 500 miles). Length of Flight Short Long Total Baggage Options Carry-on 342 259 601 Check 178 311 489 Neither 53 32 85 Total 573 602 1175 What is the probability that a customer is on a short flight and checked their bag? Round the answer to four decimal places.