Two newly hired employees at Gordian Yacht, a luxury boat manufacturer, are beginning their probationary period on the job. Their supervisor assesses a .6 proba-bility that employee A will make it through the probationary period successfully, and a probability of .8 that employee B will make it through successfully. She also believes there is a .5 probability that both employees will make it through successfully.
a. What is the probability that at least one of the employees is successful?
b. What is the probability that employee A is successful if employee B is successful?
c. What is the probability that both employees fail to make it through successfully?
d. Is the performance of A independent of the performance of B? Explain.
e. Construct a Venn diagram to represent the situation.