A worker has asked her supervisor for a confidentialletter of recommendation for a new job. She estimates that there isan 80% chance that she will get the job if she receives a strongrecommendation, a 40% chance if she receives a moderately goodrecommendation, and a 10% if she receives a weak recommendation.She further estimates that the probabilities that therecommendation will be strong, moderate and weak are 0.6, 0.3 and0.1 respectively. Given that she fails to get the job, what is theprobability that she received a weak recommendation?
