In: Statistics and Probability
At a grocery store eggs come in cartons that hold a dozen eggs. Experience indicated that 66.5% of the cartons have no broken eggs, 27.2% have one broken egg, 6.1& have 2 broken eggs, and 0.2% have 3 broken eggs, and the percentage of cartons with 4 or more broken eggs is negligible.
Using baye's rule or law of total probability:
1. an egg is selected at random from a carton. what is the probability that the egg is broken?
2. an egg selected at random from a carton is found to be broken, what is the probability that it came from a carton with to broken eggs?