Hannah is flying from the Boston to Denver with connection in Chicago. The probability her first flight leaves upon time is 0.25. If the flight is upon time, the probability that her luggage will make the connecting flight is 0.85, but the the flight is delayed, the probability that luggage will make it is only 0.65.
Assumed you select her up at the Denver airport and her luggage isn't there. Determine the probability that Hannah's first flight was delayed?