Each morning coffee is prepared for the entire office staff by one of three employees, depending on who arrives first at work. Karen arrives first 20% of the time; Gail and Larry are each the first to arrive on half of the remaining mornings. The probability that the coffee is bitter when prepared by Karen is 0.1, while the corresponding probabilities when it is prepared by Gail or Larry are 0.2 and 0.3, respectively. If you arrive one morning and find the coffee bitter, what is the probability that Larry made the coffee?