each morning coffee is prepared for the entire office staff by one of teh three employees-depending on who arrives first to work. veronica arrives first 20 % of the time; Gita and Mike are each first to arrive on half of the remaining mornings. the probability that the coffee is bitter when veronica prepares it is 0.1, while the corresponding probablities when gita and mike prepare it are 0.2 and 0.3 respectively.
if you arrive one morning and find teh coffee bitter, what is the prob that it was prepared by veronica?
what is the prob that the coffee will not be bitter on any given morning?