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 ShortLongTotalBaggageOptionsCarry-on342259601Check178311489Neither533285 Total5736021175What is the probability that a customer is on a short flight, given that the customer has a carry-on bag?