An analyst thinks that next year there is a 20% chance that the world economy will be good, a 50% chance that it will be neutral, and a 30% chance that it will be poor. She also predicts probabilities that the performance of a start-up firm, Creative Ideas, will be good, neutral, or poor for each of the economic states of the world economy. The following table presents probabilities for three states of the world economy and the corresponding conditional probabilities for Creative Ideas.

a. What is the probability that the performance of the world economy will be neutral and that of creative ideas will be poor?
b. What is the probability that the performance of Creative Ideas will be poor?
c. The performance of Creative Ideas was poor. What is the probability that the performance of the world economy had also beenpoor?

State of Probability Performance Conditional the World of Economic of Creative Probability of Economy Good State Ideas Creative Ideas 0.60 0.30 0.10 0.40 0.30 0.30 0.20 0.30 0.50 0.20 Good Neutral Poor Good Neutral Poor Good Neutral Poor Neutral 0.50 Poor 0.30