4.116 Job offers. Emily is graduating from college. She has studied biology, chemistry, and computing and hopes to work as a forensic scientist applying her science background to crime investigation. Late one night she thinks about some jobs she has applied for. Let A, B, and C be the events where Emily is offered a job by

A = the Connecticut Office of the Chief Medical Examiner

B = the New Jersey Division of Criminal Justice

C = the federal Disaster Mortuary Operations Response Team

Julie writes down her personal probabilities for being offered these jobs:

P(A) = 0.6     P(B) = 0.5     P(C) = 0.3

P(A and B) = 0.3  P(A and C) = 0.1  P(B and C) = 0.1

P(A and B and C) = 0

Make a Venn diagram of the events A, B, and C. As in Figure 4.18 (page 267), mark the probabilities of every intersection involving these events and their complements. Use this diagram for Exercises 4.117, 4.118, and 4.119.