Of 100 individuals who applied for systems analyst positions with a large firm during the past year, 40 had some prior work experience (W), and 30 had a professional certificate (C). However, 20 of the applicants had both work experience and a certificate, and thus are included in both of the counts.
(a) Construct a Venn diagram to portray these events.
(b) What is the probability that a randomly chosen applicant had either work experience or a certificate (or both)?
(c) What is the probability that a random chosen applicant had either work experience or a certificate but not both?