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Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places. Y 1 , Y 2 ,

Use Bayes' theorem or a tree diagram to calculate the indicated probability. Round your answer to four decimal places.

Y1,Y2,Y3form a partition ofS.P(X|Y1) =.2,P(X|Y2) =.1,P(X|Y3) =.7,P(Y1) =.4,P(Y2) =.3.

FindP(Y1|X).

P(Y1|X) =

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