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09-05-2018
Mathematics

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Use the given information to find the indicated probability. a and b are mutually exclusive. p(a) = .8, p(b) = .1. find p((a ∪ b)').

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LammettHash LammettHash

11-05-2018

If [tex]A[/tex] and [tex]B[/tex] are mutually exclusive, then

[tex]\mathbb P(A\cup B)=\mathbb P(A)+\mathbb P(B)=0.8+0.1=0.9[/tex]

Then [tex]\mathbb P((A\cup B)')=1-\mathbb P(A\cup B)=0.1[/tex].

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