Beth randomly picks one of her 3 children to help her clean the house. She randomly assigns the child she picks to either clean the kitchen, living room or bedroom. Label her children O (Oldest), M (Middle) or Y (Youngest) and the job K (Kitchen), L (Living room) or B (Bedroom).

Give numerical answers as fractions

A. List the possible outcomes? (Use just the initials of the children and jobs.)

D = the event that the Oldest child is chosen

N = the event the Bedroom is not cleaned

Use fractions in your answers.

C. P(D)=\displaystyle {P}{\left({D}\right)}=  

D. P(N)=\displaystyle {P}{\left({N}\right)}=  

E. P(N)=\displaystyle {P}{\left(\overline{{{N}}}\right)}=  

F. P(DN)=\displaystyle {P}{\left({D}\cup{N}\right)}=  

G. P(DN)=\displaystyle {P}{\left({D}\cap{N}\right)}=