SHOW ALL WORK TO GET 5 STARS Five applicants (Jim, Don, Mary, Sue, and Nancy) ar

Question

SHOW ALL WORK TO GET 5 STARS

Five applicants (Jim, Don, Mary, Sue, and Nancy) are available for two identical jobs. A supervisor selects two applicants to fill these jobs, Give the sample space associated with this experiment. Let A denote the event that at least one male is selected. How many outcomes are in A? Let B denote the event that exactly one male is selected. How many outcomes are in B? Write the event that two males are selected in terms of A and B. List the outcomes in A, AB, A B, and AB.

Explanation / Answer

let jim=j
don=d
mary=m
sue=s
nancy=n

sample space={(j,d),(j,m),(j,s),(j,n),(d,m),(d,s),(d,n),(m,s),(m,n),(s,n)}

A=(j,d),(j,m),(j,s),(j,n),(d,m),(d,n),(d,s);

B=A-{(j,d)}

C=two males are selected =A-B

A bar= sample space-A

A U B = A

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