Mathematics · Probability
Let A and B be two events in a discrete probability space with ℙ(A) > 0 and ℙ(B) > 0. Which of the following is necessarily true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1If ℙ(A | B) = 0, then ℙ(B | A) = 1.
- 2If ℙ(A | B) = 1, then ℙ(B | A) = 1.
- 3If ℙ(A | B) > ℙ(A), then ℙ(B | A) > ℙ(B).✓
- 4If ℙ(A | B) > ℙ(B), then ℙ(B | A) > ℙ(A).
Correct answer
If ℙ(A | B) > ℙ(A), then ℙ(B | A) > ℙ(B).
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