Event 1 The Prior Probabilities of Events A₁,A₂,and A₃ Are P(A₁)= .50,P(A₂)=

Short Answer

Event 1
The prior probabilities of events A₁,A₂,and A₃ are P(A₁)= .50,P(A₂)= .20 and P(A₃)= .30.The conditional probabilities of event B given A₁,A₂,and A₃ are P(B / A₁)= .40,P(B / A₂)= .50 and P(B / A₃)= .30.
-Apply Bayes' theorem to compute the posterior probability P(A₃ / B).