question archive Fifty percent of all technical assistants would like to have a PC

Fifty percent of all technical assistants would like to have a PC

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Fifty percent of all technical assistants would like to have a PC. Eighty percent of all technical assistants would like to have MAC. Fourty-five percent of all technical assistants would like to have both. If a technical assistant is randomly selected, what is the probability that she would like to have a PC or a MAC?

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Answer:

Pr (PC) = 50%=0.5

Pr (MAC)=80%=0.8

Pr (PC and MAC)=45%=0.45

Therefore, Pr (PC or MAC) = Pr(PC) + Pr (MAC) - Pr(PC and MAC) = 0.5 + 0.8 - 0.45= 1.3 - 0.45 = 0.85.