Selecting an employee: a grocery store employees cashiers, stock clerks, and del

Question

Selecting an employee:
a grocery store employees cashiers, stock clerks, and delipersonnel. The distribution of employees according to maritalstatus is shown as:
Marital Status   Cashiers    StoreClerks DeliPersonnel
married                   8                  12                    3
notmarried              5                  15                    2

If an employee is selected at random, find these probabilities:
a) employee is a stock clerk or married
b) employee is not married
c) employee is a cashier or not married

Explanation / Answer

Marital Status   Cashiers    StoreClerks DeliPersonnel Total married                   8                  12                    3               23 notmarried              5                  15                    2              22 Total                      13                  27                   5               45 (a) P(Store clerk or married)= P(store clerk)+P(married)-P(storeclerk and married) =27/45 + 23/45 -12/45 =38/45 =0.844 (b) P(not married) = 22/45 =0.489 (c) P(cashier or not married)= P(cashier) +P(not married)-P(cashier and not married) =13/45 + 22/45 - 5/45 =30/45 = 0.667

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