Ink Inc., a publishing firm, offers its 899 employees a cafeteria approach to benefits, in which employees can enroll in the benefit plan of their choice. Seven hundred thirteen employees have health insurance, 523 have dental insurance, and 489 have both health and dental insurance. (a) What is the probability p that one of the employees has either health or dental insurance? (b) What is the probability p that one of the employees has health insurance but not dental insurance?
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a) To find the total number of employees with health or dental insurance, add the number with health insurance (713) and the number with dental insurance (523), then subtract the number with both (489) since they would have been counted twice. 713 + 523 - 489 = 747. Divide this number by the total number of employees to get the probability. b) To find the number of employees with health but not dental insurance, subtract the number with both (489) from the total number with health insurance (747). Again divide this by the total number of employees to get the probability.
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