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Which conditions are specified for the probabilities in Bayes' Theorem?

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Question

Which conditions are specified for the probabilities in Bayes' Theorem?

Options

  • \[P(B_i)=0\] and \[P(A)=0\]

  • \[P(B_i)=1\] and \[P(A)=1\]

  • \[P(B_i)>0\] and \[P(A)>0\]

  • \[P(B_i)<0\] and \[P(A)>1\]

MCQ
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Solution

The denominator and conditional probability must be well-defined. Hence the theorem requires \[P(B_i)>0\] and \[P(A)>0\].

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