ArtificiallyEnhancedMiceLabs is a new company that sells mice who can say "Hello." They sell either black or white mice. Due to a production error, same mice say "Bon appetite" which makes them unacceptable. Black mice are produced in a different lab (Lab 1) then white mice (Lab 2.) Based on past data, the probability that a mouse was black and said "Bon Appetite" was .09. Also based on past data, the probability that the mouse was white and said "Bon appetite" was .05. (Fortunately, the lab had a standing order from the local pet store for the mice that said, "Bon Appetite." They bought these mice to feed to their snakes.) These probabilities represent the probability of 1 mouse out of the total sample having the specified characteristics. Half of the mice are produced in Lab 1 and the other half are produced in Lab 2.
a. If a mouse is selected at random, what is the probability that it is an acceptable mouse?
b. If a mouse is selected at random, what is the probability that it came from Lab 2?
c. If a mouse is selected at random, what is the probability that it was both acceptable and produced in Lab 1?