You Go to an animal shelter that has many cats. They have both adults and baby cats, white cats and black cats, and male cats and female cats. You decide to adopt a cat at random. Let event X be the event that the cat you adopt is an adult. Let Y be the event that the cat you adopt is a white cat. And let Z be the event that the cat you adopt is female. The shelter provides the following: Pr(X)=.4, Pr(Y)= .3, Pr(Z)=.45, Pr(X and Z) = .1, Pr(X and Y)=.15, Pr(Y and Z)=.25, Pr(X and Y and Z)=.05 Find the probability and shaded diagram Pr(Not X or Not Y) Pr(Not Y)
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