During a​ 52-week period, a company paid overtime wages for 16 weeks and hired temporary help for 11 weeks. During 6 ​weeks, the company paid overtime and hired temporary help. Complete parts​ (a) and​ (b) below.

​(a) Are the events​ “selecting a week that contained overtime​ wages” and​ “selecting a week that contained temporary help​ wages” mutually​ exclusive?

No

Yes

​(b) If an auditor randomly examined the payroll records for only one​ week, what is the probability that the payroll for that week contained overtime wages or temporary help​ wages?

​P(overtime wages or temporary help​ wages) =