Each morning coffee is prepared in the school workroom by one of three faculty members, depending on who arrives first at work. mr. worcester arrives first 10% of the time; dr. currier arrives first 50% of the time and mr. legacy arrives first on the remaining mornings. the probability that the coffee is strong when prepared by dr. currier is 0.1, while the corresponding probabilities when it is prepared by mr. legacy and mr. worcester are .2 and .3, respectively. mr. worcester likes strong coffee. if you arrive one morning and find the coffee strong, what is the probability that it was prepared by mr. legacy? by mr. worcester? what is the probability that it is not strong?